Descriptor: "Mathematical physics" / Publisher: iop publishing / Topic: symmetry (physics) - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"Mathematical physics"' showing total 1,197 results

Start Over Descriptor "Mathematical physics" Topic symmetry (physics) Publisher iop publishing

1,197 results on '"Mathematical physics"'

1. Nonlinear Schrödinger systems with mixed interactions: locally minimal energy vector solutions

Author: Jaeyoung Byeon, Sang-Hyuck Moon, and Zhi-Qiang Wang
Subjects: Applied Mathematics, General Physics and Astronomy, Pattern formation, Statistical and Nonlinear Physics, Symmetry (physics), Standing wave, symbols.namesake, Nonlinear system, Bound state, symbols, Mathematical Physics, Energy (signal processing), Schrödinger's cat, Mathematics, Mathematical physics
Abstract: This paper is concerned with asymptotic behavior of positive solutions for coupled Schrödinger equations with mixed interactions between components. We construct locally minimal energy solutions that show distinctively different limiting profile for simultaneously large attractive and repulsive couplings. The components of the solutions constructed exhibit partial synchronization and segregation.
Published: 2021

2. Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case

Author: Dongmei Xiao, Yilei Tang, and Hebai Chen
Subjects: Applied Mathematics, Limit cycle, Dynamics (mechanics), General Physics and Astronomy, Statistical and Nonlinear Physics, Mathematical Physics, Saddle, Symmetry (physics), Mathematical physics, Mathematics, Quintic function
Abstract: In the paper we deal with a quintic Liénard system of the form x ̇ = y − ( a 1 x + a 2 x 3 + a 3 x 5 ) , y ̇ = b 1 x + b 2 x 3 with a Z 2 -symmetry, where a 1 , a 2 , b 1 ∈ R and a 3 b 2 ≠ 0. A complete study of this system with b 2 > 0, called the saddle case, is finished, showing that the system exhibits at most two limit cycles, and the necessary and sufficient conditions are obtained on the existence of two limit cycles and a two-saddle heteroclinic loop. We also present a global bifurcation diagram and the corresponding phase portraits of this system, including Hopf bifurcation, Bautin bifurcation, two-saddle heteroclinic loop bifurcation and double limit cycle bifurcation.
Published: 2021

3. Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector

Author: Hongbin Chen, Ruofei Yao, and Rui Li
Subjects: Applied Mathematics, Mathematical analysis, Spherical sector, General Physics and Astronomy, Statistical and Nonlinear Physics, Monotonic function, Symmetry (physics), Elliptic curve, Range (mathematics), Planar, Boundary value problem, Uniqueness, Mathematical Physics, Mathematics
Abstract: The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity properties via the method of moving planes. The symmetry properties follow from the uniqueness of the corresponding over-determined problem by Farina and Valdinoci (2013 Am. J. Math.).
Published: 2021

4. Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather

Author: Yusuke Doi and Kazuyuki Yoshimura
Subjects: Physics, discrete breather, Breather, Applied Mathematics, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, Pattern Formation and Solitons (nlin.PS), Function (mathematics), Nonlinear Sciences - Pattern Formation and Solitons, Symmetry (physics), Fermi-Pasta-Ulam lattice, symbols.namesake, Algebraic equation, nonlinear wave propagation, Normal mode, Lattice (order), symbols, Pairwise comparison, nonlinear lattice, Hamiltonian (quantum mechanics), Mathematical Physics
Abstract: This is the Accepted Manuscript version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd are not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ab9498., We construct a nonlinear lattice that has a particular symmetry in its potential function consisting of long-range pairwise interactions. The symmetry enhances smooth propagation of discrete breathers, and it is defined by an invariance of the potential function with respect to a map acting on the complex normal mode coordinates. Condition of the symmetry is given by a set of algebraic equations with respect to coefficients of the pairwise interactions. We prove that the set of algebraic equations has a unique solution, and moreover we solve it explicitly. We present an explicit Hamiltonian for the symmetric lattice, which has coefficients given by the solution. We demonstrate that the present symmetric lattice is useful for numerically computing traveling discrete breathers in various lattices. We propose an algorithm using it.
Published: 2020

5. Volume IV The DUNE far detector single-phase technology

Author: L. Di Giulio, J. Martin-Albo, S. Ravat, W. Mu, D. Marfatia, T. Kosc, D. Autiero, Poonam Mehta, A. Borkum, N. McConkey, G. Karagiorgi, Robert Wilson, L. M. Cremaldi, Stephen P. Gent, T. Young, Julián Félix, D. MacFarland, Andrew Smith, M. Manrique Plata, J. Freestone, D. Rivera, B. Stillwell, Marco Verzocchi, A. Lambert, Orlando L. G. Peres, K. Gollwitzer, E. Kemp, G. Yang, I. Kreslo, F. Varanini, M. Chalifour, A. Holin, S. J. Patton, R. J. Nichol, Giovanni Bellettini, V. A. Kudryavtsev, M. Sorel, E. Church, S. Kasai, H. O. Back, A. Lister, S. Santana, C. Mariani, Carlos Escobar, J. C. Freeman, Kaushik De, M. J. Rodriguez Alonso, M. A. Acero, A. Christensen, G. S. Varner, S. Sacerdoti, D. Shooltz, Seodong Shin, M. Santos-Maldonado, T. Schaffer, Jeremy Wolcott, J. Vasel, J. A. Gonzalez-Cuevas, J. Franc, C. Mossey, Jonas Rademacker, G. P. Zeller, Joshua Barrow, John Marshall, Alessandro Thea, H. A. Tanaka, W. C. Louis, E. Hazen, Armin Karcher, D. Smargianaki, Christopher L. Marshall, M. Soderberg, A. C. Weber, Christopher J. Milne, E. Brianne, A. Aranda-Fernandez, J. Calcutt, K. Warburton, M. Nalbandyan, Dave Sankey, J. Asaadi, F. Diaz, E. Valencia, B. Kirby, A. Bross, K. Koehler, M. A. Uchida, Y. Bezawada, D. Warner, C. E. Thorn, Srubabati Goswami, Z. Williams, Gregory Iles, A. Friedland, K. M. Heeger, V. P. Luzio, G. C. Blazey, J. Barranco Monarca, Carl Grace, A. M. Gago, E. James, M. Newcomer, H. W. Sobel, Roberto Gutiérrez, C. Vignoli, R. Hatcher, M. Zhao, F. Cavalier, M. A. Hernandez Morquecho, N. Poonthottathil, Ara Ioannisian, W. Metcalf, T. Wongjirad, H. T. Rakotondramanana, D. Cherdack, M. A. Ramirez Delgado, R. Diurba, G. Christodoulou, S. Calvez, T. Durkin, H. Y. Wei, M. Muether, S. Roy, A. Caminata, A. Scarpelli, Christopher Brew, Pavel Snopok, Y. Rigaut, L. Escudero Sanchez, K. Kothekar, W. Flanagan, V. Papadimitriou, S. J. Brice, Nicolas Lurkin, M. V. Diwan, Andrew White, S. Berkman, H. Muramatsu, Z. Pavlovic, A. A. Machado, Christian Farnese, A. Mastbaum, Alfredo G. Cocco, G. Zhu, S. Centro, S. Henry, J. Rout, P. de Jong, H. Carranza, Milos Lokajicek, K. Nishimura, A. Delbart, N. J. C. Spooner, C. McGrew, E. Pantic, Mario Campanelli, David Cussans, B. T. Fleming, K. Negishi, F. Spagliardi, J. Nesbit, André Rubbia, Akitaka Ariga, Marvin L Marshak, F. Pietropaolo, F. D. M. Blaszczyk, T. Hasegawa, Kate Scholberg, O. Gogota, R. Poling, Simon Jones, A. Tonazzo, M. P. Andrews, R. Petti, S. Bertolucci, M. Bonesini, A. F. Moor, C. Barnes, A. S. Hesam, S. H. Kettell, M. Bongrand, M. R. While, D. J. Payne, C. Gotti, A. Chiriacescu, Paul Keener, Leigh H. Whitehead, James Stewart, A. Mazzacane, L. W. Koerner, T. Rehak, C. Andreopoulos, F. Terranova, Jaroslaw Pasternak, E. Raguzin, L. C. J. Rice, J. L. Bazo Alba, S. Li, J. Hartnell, M. Potekhin, N. Moggi, D. J. Summers, J. Berger, L. Cremonesi, Katsuya Yonehara, T. E. Coan, Claire Shepherd-Themistocleous, B. Radics, Karol Hennessy, S. Söldner-Rembold, C. S. Lin, L. Greenler, B. Guo, Frank Filthaut, R. B. Patterson, E. Pennacchio, E. Zhivun, C. Cuesta, T. Loew, G. Prior, D. Duchesneau, Lina Necib, S. Rescia, W. Gu, Andrés Castillo, N. Kazaryan, O. G. Miranda, C. Patrick, Robert Shrock, José W. F. Valle, J. Reichenbacher, D. A. Sanders, John F. Beacom, S. Tufanli, S. Ventura, Riccardo Papaleo, J. Zennamo, A. De Roeck, M. Calin, P. Ding, Alessandro Menegolli, B. V. K. S. Potukuchi, T. Le, T. Wachala, L. O. Arnold, J. R. Macier, A. M. Teklu, E. Blucher, L. Hertel, F. W. Sippach, S. Childress, T. Miao, P. Fernandez Menendez, J. Han, R. Gandrajula, C. Y. Chi, Marzio Nessi, Aldo Penzo, Ina Sarcevic, Kendall Mahn, Jorge Molina, F. Bonini, Eric W. Hoppe, M. Groh, Barry King, R. Mazza, Keith Rielage, Patrick Dunne, M. Mellinato, D. Lorca, R. Guenette, F. Bento Neves, L. Pickering, Manuel Alejandro Segura Delgado, J. J. Russell, H. R. Gallagher, J. Zuklin, Steven Gardiner, P. Madigan, D. Douglas, Daniel Gastler, S. Manly, P. Hamilton, L. Montaño Zetina, R. G. Van de Water, S. Dennis, M. Tenti, N. Dokania, Kim Siyeon, E. Fernandez-Martinez, P. P. Koller, D. Whittington, T. Li, M. C. Sanchez, S. Biagi, C. Sarasty, Juraj Bracinik, A. N. Khotjantsev, N. Tsverava, Yasaman Farzan, M. Tzanov, J. G. Boissevain, J. Smolik, Andrew Brandt, J. Hoff, D. A. Harris, C. Distefano, Ornella Palamara, H. S. Budd, Alastair Grant, A. K. Giri, Thorsten Lux, C. E. Lane, J. Marteau, Irakli Lomidze, E. Kearns, Zviad Tsamalaidze, L. S. Gomez Fajardo, H. da Motta, J. S. Real, Sukalyan Chattopadhyay, B. Viren, J. Mousseau, Ihn Sik Seong, C. M. Sutera, A. C. Ezeribe, F. Ferraro, Marco Adinolfi, Nikolaos Simos, A. Stuart, D. Brailsford, N. Solomey, Laura Manenti, L. V. Gomez Bermeo, Andrea Zani, Kristian Harder, Timothy M. Shaw, J. Hewes, Sandro Palestini, D. Braga, D. Garcia-Gamez, J. Stock, S. Bolognesi, D. Belver, Laura Paulucci, J. Ahmed, Narendra Sahu, Sandip Pakvasa, L. Pasqualini, D. Mladenov, M. Kordosky, S. Zucchelli, L. Stanco, M. Torti, B. Jargowsky, E. Smith, C. J. Solano Salinas, N.V. Mokhov, D. Vanegas Forero, C. Jesús-Valls, Andrew Blake, L. Jiang, F. Andrianala, W. Ketchum, Matthaeus Leitner, K. Fahey, Marco Pallavicini, Bindu A. Bambah, K. Francis, M. H. Shaevitz, N. Barros, I. Caro Terrazas, R. Itay, G. Sirri, H. Steiner, Laura Dominé, S. Lockwitz, G. Savage, N. Bostan, J. A. Nowak, A. Scarff, Konstantinos Manolopoulos, R. K. Plunkett, B. Morgan, A. Rafique, Cari L. Johnson, M. Parvu, L. Patrizii, James A. Anderson, L. Corwin, A. Hourlier, S. L. Mufson, S. Martynenko, V. J. Guarino, B. Carlus, D. Boyden, F. Marinho, David Delepine, J. Bremer, Paola Sala, P. Cotte, J.V. Dawson, G. Mandrioli, O. Goodwin, Jitendra Kumar, Ph. Lebrun, J. Soto-Oton, K. K. Guthikonda, Evgueni Goudzovski, Gabriella Carini, S. Gao, M. Dabrowski, Sudarshan Paramesvaran, G. Pessina, S. Davini, R. L. Talaga, Francesco Gonnella, A. Joglekar, G. Sinev, S. Gwon, A. Surdo, M. O. Wascko, R. Bajou, Pedro A. N. Machado, Massimo Rossella, G. S. Davies, I. De Bonis, K. S. McFarland, C. T. Macias, T. Alion, O. V. Mineev, M. Bishai, R. Northrop, Chao Zhang, R. Van Berg, L. Di Noto, Kam-Biu Luk, J. Chaves, J. Wang, K. Qi, W. E. Sondheim, Sergei Striganov, B. Paulos, Janice L. Thompson, M. Rai, P. N. Ratoff, T. Kutter, D. Totani, J. A. B. Coelho, F. Stocker, T. Gamble, J. J. Grudzinski, I. Gil-Botella, T. Yang, Wayne A. Barkhouse, C. E. Tull, H. Mendez, Z. Ghorbani-Moghaddam, Y.-J. Jwa, F. Cavanna, F. Kamiya, V. Basque, R. Sipos, V. Bellini, C. Alt, Sandhya Choubey, B. Abi, A. Mefodiev, V. A. Kostelecky, A. L. Renshaw, Giuseppe Benedetto Cerati, S. Balasubramanian, M. Biassoni, D. Pershey, J. Maricic, K. Lande, A. Muir, L.S. Rochester, A. Papanestis, A. Aurisano, F. Bay, R. Nandakumar, T. L. Usher, Bo Yu, A. V. Waldron, A. Filkins, Y. Cui, P. A. Rodrigues, Daijin Kim, G.D. Barr, Junwei Huang, V. De Romeri, H.E. Rogers, Andrea Dell'Acqua, A. Cervera Villanueva, Robert Svoboda, Yu. Onishchuk, T. Hamernik, A. P. Furmanski, M. Wetstein, P.T. Smith, G. Brunetti, Mariam Tórtola, Matthew L Strait, G. Barenboim, P. Guzowski, J. D. Eisch, N. Gallice, D. Newhart, A. J. Roeth, H. Berns, E. Granados, A. Weinstein, A. Falcone, D. Caratelli, L. Bellantoni, Wei Wu, J. Mills, A. Hackenburg, D. Caiulo, Chia-Chan Chang, Dave M Newbold, C. K. Jung, F. Krennrich, G. Testera, S. Rosauro-Alcaraz, A. Sitraka, L. Bagby, J. M. LoSecco, S. Tariq, C. Mauger, J. J. Back, J. Yu, R. Acciarri, B. Behera, P. Lasorak, Karol Lang, Irina Mocioiu, H. Schellman, Han Wang, Sergey A. Kulagin, A. Bashyal, Beatriz B. Siffert, C. N. Booth, L. Zambelli, M. T. Graham, A. Mann, Rakesh Kumar, Y. Xiao, Gregory J Pawloski, T. Prakash, Arsen Khvedelidze, A.S. Dyshkant, Paolo Carniti, C. Rubbia, M. Reggiani-Guzzo, M. M. Khabibullin, D. Wenman, S. C. Timm, R. Sharma, R. Saakyan, Marcelo M. Guzzo, P. Baesso, M. Pozzato, T. R. Junk, C. Morris, A. Cervelli, A. Heavey, Grzegorz Deptuch, M. Á. García-Peris, B. Bhuyan, M. Kabirnezhad, Pierre Baldi, M. Mooney, E. Tyley, A. Hahn, V. Susic, S. D. Reitzner, M. P. Decowski, V. Galymov, E. Chardonnet, B. R. Littlejohn, B. Ramson, B. Russell, M. Vagins, L. Fields, V. Zutshi, Sandeep Miryala, Enrique Calvo, V. Radeka, P. Debbins, J. Sinclair, B. Bilki, C. Touramanis, J. I. Crespo-Anadón, J. M. Paley, Antonio Ereditato, N. Yershov, C. J. Densham, D. W. Schmitz, A. Gallego-Ros, N. Buchanan, N. Mauri, A. Lawrence, K. Cho, S. Narita, X. Luo, A. Booth, D. A. Dwyer, S. Prince, J. Haiston, Jianbei Liu, T. J. Langford, E. Gamberini, Matheus Hostert, Dario Gnani, P. Vahle, G. A. Horton-Smith, A. Marchionni, I. K. Furic, John Matthews, K. Mason, M. Bhattacharjee, Randall P. Johnson, Amelia Maio, E. Motuk, C. Castromonte, Paolo Calafiura, Q. David, T. Miedema, S. Magill, Z. Ahmad, John Evans, Yi Chen, E. Ewart, S. Gollapinni, K. V. Tsang, J. Maneira, R.A. Rameika, A. de Gouvea, M. A. Vermeulen, R. M. Berner, J. J. De Vries, S. Shafaq, L. Da Silva Peres, A. McNab, G. Vasseur, A. Verdugo, C. Petta, Kenneth Long, H. S. Chen, K. Mavrokoridis, M. J. Dolinski, Yu. Kudenko, D. Gratieri, Alexandru Jipa, J. R. T. de Mello Neto, Olga Beltramello, J. T. Haigh, B. Gelli, Gregory J. Michna, A. M. Iliescu, Alex Reynolds, K. Biery, Yanchu Wang, V. Aushev, J. Zalesak, L. Simard, Ionel Lazanu, L. Pagani, J. Rodriguez Rondon, Alec Habig, M. Nebot-Guinot, R. Illingworth, G. Petrillo, J. S. Díaz, P. Novella, K. Grzelak, A. Gendotti, A. Himmel, M. Rajaoalisoa, P. Bour, L. Mualem, D. Pugnere, E. Niner, C. A. Moura, A. D. Marino, S. Bordoni, James Mueller, W. Fox, Jordan Ott, Niki Saoulidou, M. Oberling, E. Mazzucato, Silvia Pascoli, K. Herner, Hem Raj Sharma, M. Betancourt, T. Lord, L. Zazueta, Alexander Deisting, B. Rebel, Joleen Pater, David H. Adams, I. L. De Icaza Astiz, Stefan Antusch, M. Worcester, A. Higuera Pichardo, C. Kuruppu, Janet Conrad, Z. Parsa, Francesco Tortorici, L. Suter, J. Moon, P. E. L. Clarke, C. Palomares, Sofia Andringa, F. Jediny, J. Urheim, D. Montanari, Giorgio Riccobene, A. Rappoldi, J. Migenda, S. Matsuno, Y. Karyotakis, Jürgen Pozimski, Artur M. Ankowski, D. Edmunds, T. Safford, E. Tatar, Utku Kose, Z. Djurcic, D. Vargas, C. Wret, F. Sergiampietri, Rex Tayloe, F. Barao, I. Rakhno, Rukmani Mohanta, Andrew Norman, V. N. Solovov, X. Pons, V. Paolone, V. Pec, J. Pillow, S. Vergani, V. Savinov, P. Melas, Simon Lin, K. Wood, E. D. Zimmerman, M. A. Leigui de Oliveira, A. Olivier, Kevin J. Kelly, D. Sgalaberna, M. Gold, M. Spanu, Xiaolu Ji, A. M. Szelc, Gareth J. Barker, C. Cattadori, J. Fowler, S. J. M. Peeters, Raj Gandhi, M. Masud, R. LaZur, C. Grant, A. Olivares Del Campo, Joshua R. Klein, Vasundhara Singh, Ranjan Dharmapalan, Lynn Wood, E. Bechetoille, Patrick Green, Gustaaf Brooijmans, R. Howell, K. Moffat, J. G. Learned, J. Spitz, E. McCluskey, T. Patzak, M. D. Messier, J. A. Musser, R. Raboanary, P. Schlabach, C. Lastoria, D. Naples, Kazuhiro Terao, A. Paudel, Michael Mulhearn, S. B. Boyd, T. Hill, G. A. Valdiviesso, S. Emery, M. C. Goodman, D. C. Christian, S. Alonso Monsalve, B. Howard, G. Ge, Alexander Tapper, Thomas Strauss, J. Hugon, M. Kirby, K. Zeug, A. Laundrie, B. Szczerbinska, R. Flight, H. Vieira de Souza, D. M. DeMuth, A. Chatterjee, S. Kohn, F. Drielsma, A. Bitadze, B. Zamorano, Warner A. Miller, Yichen Li, Wladyslaw Henryk Trzaska, F. Piastra, C. Wilkinson, M. Greenwood, C. Girerd, R.J. Staley, R. Cross, S. Di Domizio, G. Meng, A. Mislivec, A. Sousa, K. Spurgeon, R. Gran, M. Roda, G.L. Raselli, R. S. Fitzpatrick, L. Rakotondravohitra, A. C. Kaboth, Matthew Mewes, Kai Loo, J. Trevor, T. Vrba, S. P. Kasetti, Y. Penichot, M. J. Wilking, M. Zito, S. Pordes, P. Weatherly, James John Brooke, M. Wallbank, F. F. Wilson, Nektarios Benekos, Renato Potenza, M. Toups, H. Y. Liao, Haleh Khani Hadavand, D. Redondo, S. R. Mishra, R. A. Gomes, E. Gramellini, S. Menary, P. C. de Holanda, D. Gibin, M. Stancari, B. J. P. Jones, C. Vilela, B. Tapia Oregui, N. Nayak, Sofia Vallecorsa, K. E. Duffy, E. Segreto, Xin Qian, T. A. Mohayai, Olga Mena, N. Martinez, O.V. Dvornikov, Filippo Resnati, M. B. Smy, K. Soustruznik, Diana Navas-Nicolas, S. Jiménez, R. Zwaska, William J. Marciano, C. Hohl, R. Haenni, Piera Sapienza, M. Shamma, N. P. Samios, H. Duyang, G. Lehmann Miotto, H. Meyer, A. Schukraft, C. S. Mishra, Vlastimil Kus, S. Murphy, Jianming Bian, C. Backhouse, Stephen J. Parke, J. Perry, Stephen Hillier, A. Guglielmi, D. Franco, M. Soares Nunes, A. Maddalena, M. Antonova, T. Boschi, J. L. Raaf, J. Singh, Alan Watson, F. Muheim, R. Milincic, P. Bernardini, Ralf Lehnert, T. A. Bolton, J. Greer, Y. T. Tsai, Mafalda Dias, L. Camilleri, S. Nagu, J. A. Maloney, Z. Vallari, J. Sensenig, I. Kadenko, D. Waters, S. Prakash, D. Ruterbories, Antonino Sergi, L. Kashur, M. Eads, C. Montanari, E. Conley, A. Scaramelli, S. Fuess, E. Cristaldo, H. Razafinime, Alessandro Montanari, T. Stokes, L. Li, Marc Weber, C. Bromberg, M. Leyton, M. E. Convery, S. Green, Jack Fried, P. De Lurgio, George Adamov, C. A. Ternes, Jane Nachtman, Y. A. Ramachers, D. A. Martinez Caicedo, E. T. Worcester, R. M. de Almeida, Yasar Onel, Mingshui Chen, A. Izmaylov, Claudia Brizzolari, C. Griffith, J. K. Nelson, K. Vaziri, M. A. Arroyave, F. Azfar, M. Karolak, Deywis Moreno, L. Molina Bueno, Science and Technology Facilities Council (STFC), Abi, B, Acciarri, R, Acero, M, Adamov, G, Adams, D, Adinolfi, M, Ahmad, Z, Ahmed, J, Alion, T, Monsalve, S, Alt, C, Anderson, J, Andreopoulos, C, Andrews, M, Andrianala, F, Andringa, S, Ankowski, A, Antonova, M, Antusch, S, Aranda-Fernandez, A, Ariga, A, Arnold, L, Arroyave, M, Asaadi, J, Aurisano, A, Aushev, V, Autiero, D, Azfar, F, Back, H, Back, J, Backhouse, C, Baesso, P, Bagby, L, Bajou, R, Balasubramanian, S, Baldi, P, Bambah, B, Barao, F, Barenboim, G, Barker, G, Barkhouse, W, Barnes, C, Barr, G, Monarca, J, Barros, N, Barrow, J, Bashyal, A, Basque, V, Bay, F, Alba, J, Beacom, J, Bechetoille, E, Behera, B, Bellantoni, L, Bellettini, G, Bellini, V, Beltramello, O, Belver, D, Benekos, N, Neves, F, Berger, J, Berkman, S, Bernardini, P, Berner, R, Berns, H, Bertolucci, S, Betancourt, M, Bezawada, Y, Bhattacharjee, M, Bhuyan, B, Biagi, S, Bian, J, Biassoni, M, Biery, K, Bilki, B, Bishai, M, Bitadze, A, Blake, A, Siffert, B, Blaszczyk, F, Blazey, G, Blucher, E, Boissevain, J, Bolognesi, S, Bolton, T, Bonesini, M, Bongrand, M, Bonini, F, Booth, A, Booth, C, Bordoni, S, Borkum, A, Boschi, T, Bostan, N, Bour, P, Boyd, S, Boyden, D, Bracinik, J, Braga, D, Brailsford, D, Brandt, A, Bremer, J, Brew, C, Brianne, E, Brice, S, Brizzolari, C, Bromberg, C, Brooijmans, G, Brooke, J, Bross, A, Brunetti, G, Buchanan, N, Budd, H, Caiulo, D, Calafiura, P, Calcutt, J, Calin, M, Calvez, S, Calvo, E, Camilleri, L, Caminata, A, Campanelli, M, Caratelli, D, Carini, G, Carlus, B, Carniti, P, Terrazas, I, Carranza, H, Castillo, A, Castromonte, C, Cattadori, C, Cavalier, F, Cavanna, F, Centro, S, Cerati, G, Cervelli, A, Villanueva, A, Chalifour, M, Chang, C, Chardonnet, E, Chatterjee, A, Chattopadhyay, S, Chaves, J, Chen, H, Chen, M, Chen, Y, Cherdack, D, Chi, C, Childress, S, Chiriacescu, A, Cho, K, Choubey, S, Christensen, A, Christian, D, Christodoulou, G, Church, E, Clarke, P, Coan, T, Cocco, A, Coelho, J, Conley, E, Conrad, J, Convery, M, Corwin, L, Cotte, P, Cremaldi, L, Cremonesi, L, Crespo-Anadon, J, Cristaldo, E, Cross, R, Cuesta, C, Cui, Y, Cussans, D, Dabrowski, M, Motta, H, Peres, L, David, Q, Davies, G, Davini, S, Dawson, J, De, K, Almeida, R, Debbins, P, Bonis, I, Decowski, M, Gouvea, A, Holanda, P, Astiz, I, Deisting, A, Jong, P, Delbart, A, Delepine, D, Delgado, M, Dell'Acqua, A, Lurgio, P, Neto, J, Demuth, D, Dennis, S, Densham, C, Deptuch, G, Roeck, A, Romeri, V, Vries, J, Dharmapalan, R, Dias, M, Diaz, F, Diaz, J, Domizio, S, Giulio, L, Ding, P, Noto, L, Distefano, C, Diurba, R, Diwan, M, Djurcic, Z, Dokania, N, Dolinski, M, Domine, L, Douglas, D, Drielsma, F, Duchesneau, D, Duffy, K, Dunne, P, Durkin, T, Duyang, H, Dvornikov, O, Dwyer, D, Dyshkant, A, Eads, M, Edmunds, D, Eisch, J, Emery, S, Ereditato, A, Escobar, C, Sanchez, L, Evans, J, Ewart, E, Ezeribe, A, Fahey, K, Falcone, A, Farnese, C, Farzan, Y, Felix, J, Fernandez-Martinez, E, Menendez, P, Ferraro, F, Fields, L, Filkins, A, Filthaut, F, Fitzpatrick, R, Flanagan, W, Fleming, B, Flight, R, Fowler, J, Fox, W, Franc, J, Francis, K, Franco, D, Freeman, J, Freestone, J, Fried, J, Friedland, A, Fuess, S, Furic, I, Furmanski, A, Gago, A, Gallagher, H, Gallego-Ros, A, Gallice, N, Galymov, V, Gamberini, E, Gamble, T, Gandhi, R, Gandrajula, R, Gao, S, Garcia-Gamez, D, Garcia-Peris, M, Gardiner, S, Gastler, D, Ge, G, Gelli, B, Gendotti, A, Gent, S, Ghorbani-Moghaddam, Z, Gibin, D, Gil-Botella, I, Girerd, C, Giri, A, Gnani, D, Gogota, O, Gold, M, Gollapinni, S, Gollwitzer, K, Gomes, R, Bermeo, L, Fajardo, L, Gonnella, F, Gonzalez-Cuevas, J, Goodman, M, Goodwin, O, Goswami, S, Gotti, C, Goudzovski, E, Grace, C, Graham, M, Gramellini, E, Gran, R, Granados, E, Grant, A, Grant, C, Gratieri, D, Green, P, Green, S, Greenler, L, Greenwood, M, Greer, J, Griffith, C, Groh, M, Grudzinski, J, Grzelak, K, Gu, W, Guarino, V, Guenette, R, Guglielmi, A, Guo, B, Guthikonda, K, Gutierrez, R, Guzowski, P, Guzzo, M, Gwon, S, Habig, A, Hackenburg, A, Hadavand, H, Haenni, R, Hahn, A, Haigh, J, Haiston, J, Hamernik, T, Hamilton, P, Han, J, Harder, K, Harris, D, Hartnell, J, Hasegawa, T, Hatcher, R, Hazen, E, Heavey, A, Heeger, K, Hennessy, K, Henry, S, Morquecho, M, Herner, K, Hertel, L, Hesam, A, Hewes, J, Pichardo, A, Hill, T, Hillier, S, Himmel, A, Hoff, J, Hohl, C, Holin, A, Hoppe, E, Horton-Smith, G, Hostert, M, Hourlier, A, Howard, B, Howell, R, Huang, J, Hugon, J, Iles, G, Iliescu, A, Illingworth, R, Ioannisian, A, Itay, R, Izmaylov, A, James, E, Jargowsky, B, Jediny, F, Jesus-Valls, C, Ji, X, Jiang, L, Jimenez, S, Jipa, A, Joglekar, A, Johnson, C, Johnson, R, Jones, B, Jones, S, Jung, C, Junk, T, Jwa, Y, Kabirnezhad, M, Kaboth, A, Kadenko, I, Kamiya, F, Karagiorgi, G, Karcher, A, Karolak, M, Karyotakis, Y, Kasai, S, Kasetti, S, Kashur, L, Kazaryan, N, Kearns, E, Keener, P, Kelly, K, Kemp, E, Ketchum, W, Kettell, S, Khabibullin, M, Khotjantsev, A, Khvedelidze, A, Kim, D, King, B, Kirby, B, Kirby, M, Klein, J, Koehler, K, Koerner, L, Kohn, S, Koller, P, Kordosky, M, Kosc, T, Kose, U, Kostelecky, V, Kothekar, K, Krennrich, F, Kreslo, I, Kudenko, Y, Kudryavtsev, V, Kulagin, S, Kumar, J, Kumar, R, Kuruppu, C, Kus, V, Kutter, T, Lambert, A, Lande, K, Lane, C, Lang, K, Langford, T, Lasorak, P, Last, D, Lastoria, C, Laundrie, A, Lawrence, A, Lazanu, I, Lazur, R, Le, T, Learned, J, Lebrun, P, Miotto, G, Lehnert, R, De Oliveira, M, Leitner, M, Leyton, M, Li, L, Li, S, Li, T, Li, Y, Liao, H, Lin, C, Lin, S, Lister, A, Littlejohn, B, Liu, J, Lockwitz, S, Loew, T, Lokajicek, M, Lomidze, I, Long, K, Loo, K, Lorca, D, Lord, T, Losecco, J, Louis, W, Luk, K, Luo, X, Lurkin, N, Lux, T, Luzio, V, Macfarland, D, Machado, A, Machado, P, Macias, C, Macier, J, Maddalena, A, Madigan, P, Magill, S, Mahn, K, Maio, A, Maloney, J, Mandrioli, G, Maneira, J, Manenti, L, Manly, S, Mann, A, Manolopoulos, K, Plata, M, Marchionni, A, Marciano, W, Marfatia, D, Mariani, C, Maricic, J, Marinho, F, Marino, A, Marshak, M, Marshall, C, Marshall, J, Marteau, J, Martin-Albo, J, Martinez, N, Caicedo, D, Martynenko, S, Mason, K, Mastbaum, A, Masud, M, Matsuno, S, Matthews, J, Mauger, C, Mauri, N, Mavrokoridis, K, Mazza, R, Mazzacane, A, Mazzucato, E, Mccluskey, E, Mcconkey, N, Mcfarland, K, Mcgrew, C, Mcnab, A, Mefodiev, A, Mehta, P, Melas, P, Mellinato, M, Mena, O, Menary, S, Mendez, H, Menegolli, A, Meng, G, Messier, M, Metcalf, W, Mewes, M, Meyer, H, Miao, T, Michna, G, Miedema, T, Migenda, J, Milincic, R, Miller, W, Mills, J, Milne, C, Mineev, O, Miranda, O, Miryala, S, Mishra, C, Mishra, S, Mislivec, A, Mladenov, D, Mocioiu, I, Moffat, K, Moggi, N, Mohanta, R, Mohayai, T, Mokhov, N, Molina, J, Bueno, L, Montanari, A, Montanari, C, Montanari, D, Zetina, L, Moon, J, Mooney, M, Moor, A, Moreno, D, Morgan, B, Morris, C, Mossey, C, Motuk, E, Moura, C, Mousseau, J, Mu, W, Mualem, L, Mueller, J, Muether, M, Mufson, S, Muheim, F, Muir, A, Mulhearn, M, Muramatsu, H, Murphy, S, Musser, J, Nachtman, J, Nagu, S, 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A., Adamov, G., Adams, D., Adinolfi, M., Ahmad, Z., Ahmed, J., Alion, T., Monsalve, S. Alonso, Alt, C., Anderson, J., Andreopoulos, C., Andrews, M., Andrianala, F., Andringa, S., Ankowski, A., Antonova, M., Antusch, S., Aranda-Fernandez, A., Ariga, A., Arnold, L. O., Arroyave, M. A., Asaadi, J., Aurisano, A., Aushev, V., Autiero, D., Azfar, F., Back, H., Back, J. J., Backhouse, C., Baesso, P., Bagby, L., Bajou, R., Balasubramanian, S., Baldi, P., Bambah, B., Barao, F., Barenboim, G., Barker, G., Barkhouse, W., Barnes, C., Barr, G., Monarca, J. Barranco, Barros, N., Barrow, J. L., Bashyal, A., Basque, V., Bay, F., Alba, J. Bazo, Beacom, J. F., Bechetoille, E., Behera, B., Bellantoni, L., Bellettini, G., Bellini, V., Beltramello, O., Belver, D., Benekos, N., Neves, F. Bento, Berger, J., Berkman, S., Bernardini, P., Berner, R. 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Cervera, Chalifour, M., Chang, C., Chardonnet, E., Chatterjee, A., Chattopadhyay, S., Chaves, J., Chen, H., Chen, M., Chen, Y., Cherdack, D., Chi, C., Childress, S., Chiriacescu, A., Cho, K., Choubey, S., Christensen, A., Christian, D., Christodoulou, G., Church, E., Clarke, P., Coan, T. E., Cocco, A. G., Coelho, J., Conley, E., Conrad, J., Convery, M., Corwin, L., Cotte, P., Cremaldi, L., Cremonesi, L., Crespo-Anadón, J. I., Cristaldo, E., Cross, R., Cuesta, C., Cui, Y., Cussans, D., Dabrowski, M., Motta, H. Da, Peres, L. Da Silva, David, Q., Davies, G. S., Davini, S., Dawson, J., De, K., Almeida, R. M. De, Debbins, P., Bonis, I. De, Decowski, M., Gouvea, A. De, Holanda, P. C. De, Astiz, I. L. De Icaza, Deisting, A., Jong, P. De, Delbart, A., Delepine, D., Delgado, M., Dell'Acqua, A., Lurgio, P. De, Neto, J. R. De Mello, Demuth, D. M., Dennis, S., Densham, C., Deptuch, G., Roeck, A. De, Romeri, V. De, Vries, J. De, Dharmapalan, R., Dias, M., Diaz, F., Diaz, J., Domizio, S. Di, Giulio, L. Di, Ding, P., Noto, L. Di, Distefano, C., Diurba, R., Diwan, M., Djurcic, Z., Dokania, N., Dolinski, M., Domine, L., Douglas, D., Drielsma, F., Duchesneau, D., Duffy, K., Dunne, P., Durkin, T., Duyang, H., Dvornikov, O., Dwyer, D., Dyshkant, A., Eads, M., Edmunds, D., Eisch, J., Emery, S., Ereditato, A., Escobar, C., Sanchez, L. Escudero, Evans, J. J., Ewart, E., Ezeribe, A. C., Fahey, K., Falcone, A., Farnese, C., Farzan, Y., Felix, J., Fernandez-Martinez, E., Menendez, P. Fernandez, Ferraro, F., Fields, L., Filkins, A., Filthaut, F., Fitzpatrick, R. S., Flanagan, W., Fleming, B., Flight, R., Fowler, J., Fox, W., Franc, J., Francis, K., Franco, D., Freeman, J., Freestone, J., Fried, J., Friedland, A., Fuess, S., Furic, I., Furmanski, A. P., Gago, A., Gallagher, H., Gallego-Ros, A., Gallice, N., Galymov, V., Gamberini, E., Gamble, T., Gandhi, R., Gandrajula, R., Gao, S., Garcia-Gamez, D., García-Peris, M. Á., Gardiner, S., Gastler, D., Ge, G., Gelli, B., Gendotti, A., Gent, S., Ghorbani-Moghaddam, Z., Gibin, D., Gil-Botella, I., Girerd, C., Giri, A., Gnani, D., Gogota, O., Gold, M., Gollapinni, S., Gollwitzer, K., Gomes, R. A., Bermeo, L. Gomez, Fajardo, L. S. Gomez, Gonnella, F., Gonzalez-Cuevas, J., Goodman, M. C., Goodwin, O., Goswami, S., Gotti, C., Goudzovski, E., Grace, C., Graham, M., Gramellini, E., Gran, R., Granados, E., Grant, A., Grant, C., Gratieri, D., Green, P., Green, S., Greenler, L., Greenwood, M., Greer, J., Griffith, C., Groh, M., Grudzinski, J., Grzelak, K., Gu, W., Guarino, V., Guenette, R., Guglielmi, A., Guo, B., Guthikonda, K., Gutierrez, R., Guzowski, P., Guzzo, M. M., Gwon, S., Habig, A., Hackenburg, A., Hadavand, H., Haenni, R., Hahn, A., Haigh, J., Haiston, J., Hamernik, T., Hamilton, P., Han, J., Harder, K., Harris, D. A., Hartnell, J., Hasegawa, T., Hatcher, R., Hazen, E., Heavey, A., Heeger, K. M., Hennessy, K., Henry, S., Morquecho, M. 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J., Stillwell B., Stock J., Stocker F., Stokes T., Strait M., Strauss T., Striganov S., Stuart A., Summers D., Surdo A., Susic V., Suter L., Sutera C., Svoboda R., Szczerbinska B., Szelc A., Talaga R., Tanaka H., Oregui B.T., Tapper A., Tariq S., Tatar E., Tayloe R., Teklu A., Tenti M., Terao K., Ternes C.A., Terranova F., Testera G., Thea A., Thompson J.L., Thorn C., Timm S., Tonazzo A., Torti M., Tortola M., Tortorici F., Totani D., Toups M., Touramanis C., Trevor J., Trzaska W.H., Tsai Y.T., Tsamalaidze Z., Tsang K., Tsverava N., Tufanli S., Tull C., Tyley E., Tzanov M., Uchida M.A., Urheim J., Usher T., Vagins M., Vahle P., Valdiviesso G., Valencia E., Vallari Z., Valle J.W., Vallecorsa S., Berg R.V., De Water R.G.V., Forero D.V., Varanini F., Vargas D., Varner G., Vasel J., Vasseur G., Vaziri K., Ventura S., Verdugo A., Vergani S., Vermeulen M.A., Verzocchi M., De Souza H.V., Vignoli C., Vilela C., Viren B., Vrba T., Wachala T., Waldron A.V., Wallbank M., Wang H., Wang J., Wang Y., Warburton K., Warner D., Wascko M., Waters D., Watson A., Weatherly P., Weber A., Weber M., Wei H., Weinstein A., Wenman D., Wetstein M., While M.R., White A., Whitehead L.H., Whittington D., Wilking M.J., Wilkinson C., Williams Z., Wilson F., Wilson R.J., Wolcott J., Wongjirad T., Wood K., Wood L., Worcester E., Worcester M., Wret C., Wu W., Xiao Y., Yang G., Yang T., Yershov N., Yonehara K., Young T., Yu B., Yu J., Zalesak J., Zambelli L., Zamorano B., Zani A., Zazueta L., Zeller G., Zennamo J., Zeug K., Zhang C., Zhao M., Zhivun E., Zhu G., Zimmerman E.D., Zito M., Zucchelli S., Zuklin J., Zutshi V., and Zwaska R.
Subjects: Technology, 530 Physics, media_common.quotation_subject, Neutrino oscillations, liquid Argon TPC, DUNE technical design report, single phase LArTPC, Electrons, FREE-ELECTRONS, 01 natural sciences, 7. Clean energy, 09 Engineering, 030218 nuclear medicine & medical imaging, Standard Model, 03 medical and health sciences, neutrino, 0302 clinical medicine, LIQUID ARGON, 0103 physical sciences, Grand Unified Theory, High Energy Physics, Aerospace engineering, Instrumentation, Instruments & Instrumentation, Mathematical Physics, media_common, Physics, Science & Technology, 02 Physical Sciences, 010308 nuclear & particles physics, business.industry, Detector, Lıquıd Argonfree, Nuclear & Particles Physics, Symmetry (physics), Universe, Long baseline neutrino experiment, CP violation, Antimatter, Neutrino, business, Event (particle physics)
Abstract: This document was prepared by the DUNE collaboration using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359. The DUNE collaboration also acknowledges the international, national, and regional funding agencies supporting the institutions who have contributed to completing this Technical Design Report., The preponderance of matter over antimatter in the early universe, the dynamics of the supernovae that produced the heavy elements necessary for life, and whether protons eventually decay—these mysteries at the forefront of particle physics and astrophysics are key to understanding the early evolution of our universe, its current state, and its eventual fate. DUNE is an international world-class experiment dedicated to addressing these questions as it searches for leptonic charge-parity symmetry violation, stands ready to capture supernova neutrino bursts, and seeks to observe nucleon decay as a signature of a grand unified theory underlying the standard model. Central to achieving DUNE's physics program is a far detector that combines the many tens-of-kiloton fiducial mass necessary for rare event searches with sub-centimeter spatial resolution in its ability to image those events, allowing identification of the physics signatures among the numerous backgrounds. In the single-phase liquid argon time-projection chamber (LArTPC) technology, ionization charges drift horizontally in the liquid argon under the influence of an electric field towards a vertical anode, where they are read out with fine granularity. A photon detection system supplements the TPC, directly enhancing physics capabilities for all three DUNE physics drivers and opening up prospects for further physics explorations. The DUNE far detector technical design report (TDR) describes the DUNE physics program and the technical designs of the single- and dual-phase DUNE liquid argon TPC far detector modules. Volume IV presents an overview of the basic operating principles of a single-phase LArTPC, followed by a description of the DUNE implementation. Each of the subsystems is described in detail, connecting the high-level design requirements and decisions to the overriding physics goals of DUNE., Fermi Research Alliance, LLC (FRA) DE-AC02-07CH11359
Published: 2020

6. Primordial dark matter from curvature induced symmetry breaking

Author: Tommi Markkanen, Laura Laulumaa, Sami Nurmi, and Helsinki Institute of Physics
Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO), Dark matter, Scalar (mathematics), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Astrophysics::Cosmology and Extragalactic Astrophysics, Curvature, 01 natural sciences, 114 Physical sciences, symmetry breaking, General Relativity and Quantum Cosmology, pimeä aine, High Energy Physics - Phenomenology (hep-ph), 0103 physical sciences, primordial dark matter, Symmetry breaking, inflation, Adiabatic process, Mathematical physics, Physics, Inflation (cosmology), symmetria, dark matter theory, 010308 nuclear & particles physics, Astronomy and Astrophysics, Coupling (probability), Symmetry (physics), quantum field theory on curved space, High Energy Physics - Phenomenology, Astrophysics - Cosmology and Nongalactic Astrophysics
Abstract: We demonstrate that adiabatic dark matter can be generated by gravity induced symmetry breaking during inflation. We study a $Z_2$ symmetric scalar singlet that couples to other fields only through gravity and for which the symmetry is broken by the spacetime curvature during inflation when the non-minimal coupling $\xi$ is negative. We find that the symmetry breaking leads to the formation of adiabatic dark matter with the observed abundance for the singlet mass $m\sim{\rm MeV}$ and $|\xi|\sim 1$., Comment: 13 pages, 5 figures. v2; minor edits, published in JCAP
Published: 2020

7. Reconstruction phases in the planar three- and four-vortex problems

Author: Antonio Hernández-Garduño and Banavara N. Shashikanth
Subjects: 37J15, 53Z05, 76B47, Plane (geometry), Applied Mathematics, 010102 general mathematics, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Kinetic energy, Rigid body, 01 natural sciences, Symmetry (physics), Vortex, Connection (mathematics), 0103 physical sciences, Metric (mathematics), Fiber bundle, 0101 mathematics, 010306 general physics, Mathematical Physics, Mathematics
Abstract: Pure reconstruction phases, geometric and dynamic, are computed in the $N$-point-vortex model in the plane, for the cases $N=3$ and $N=4$. The phases are computed relative to a metric-orthogonal connection on appropriately defined principal fiber bundles. The metric is similar to the kinetic energy metric for point masses but with the masses replaced by vortex strengths. The geometric phases are shown to be proportional to areas enclosed by the closed orbit on the symmetry reduced spaces. More interestingly, simple formulae are obtained for the dynamic phases, analogous to Montgomery's result for the free rigid body, which show them to be proportional to the time period of the symmetry reduced closed orbits. For the case $ N = 3 $ a non-zero total vortex strength is assumed. For the case $ N = 4 $ the vortex strengths are assumed equal., Accepted for publication in Nonlinearity. 45 pages, 4 figures, 1 table
Published: 2018

8. Holomorphicity, vortex attachment, gauge invariance and the fractional quantum Hall effect

Author: Abhishek Agarwal
Subjects: High Energy Physics - Theory, Statistics and Probability, Physics, Strongly Correlated Electrons (cond-mat.str-el), Operator (physics), FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Invariant (physics), Gauge (firearms), Condensed Matter::Mesoscopic Systems and Quantum Hall Effect, Symmetry (physics), Vortex, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Modeling and Simulation, Fractional quantum Hall effect, Gauge theory, Mathematical Physics, Gauge symmetry, Mathematical physics
Abstract: A gauge invariant reformulation of nonrelativistic fermions in background magnetic fields is used to obtain the Laughlin and Jain wave functions as exact results in Mean Field Theory (MFT). The gauge invariant framework trades the U(1) gauge symmetry for an emergent holomorphic symmetry and fluxes for vortices. The novel holomorphic invariance is used to develop an analytical method for attaching vortices to particles. Vortex attachment methods introduced in this paper are subsequently employed to construct the Read operator within a second quantized framework and obtain the Laughlin and Jain wave functions as exact results entirely within a mean-field approximation. The gauge invariant framework and vortex attachment techniques are generalized to the case of spherical geometry and spherical counterparts of Laughlin and Jain wave functions are also obtained exactly within MFT., 33 pages, no figures. Several Typos corrected in latest version
Published: 2021

9. Six-fold symmetry origin of Dirac cone formation in two-dimensional materials

Author: Dongqiu Zhao, Xuming Qin, Lin Ju, Gui Yang, Xiaowu Li, and Yi Liu
Subjects: Physics, Fold (higher-order function), General Physics and Astronomy, Symmetry (physics), Mathematical physics, Dirac cone
Abstract: Dirac materials possess many excellent electrical properties, resulting that the search and design of Dirac materials have become a hot research area. Revealing the formation conditions of Dirac cone (DC) can provide theoretical guidance for the search and design of Dirac materials. To obtain the necessary conditions for the formation of DC of two-dimensional (2D) materials with six-fold symmetry (SFS), the DC formation mechanism was analyzed by the ‘divide-and-couple’ approach in the framework of tight-binding theory, confirmed by the subsequent density functional theory calculations. The simple ‘6n + 2’ rule was proposed to determine whether the 2D materials with SFS have DCs, i.e. when the number of atoms in a unit cell is 6n + 2, the systems would possess DCs at the vertex of Brillouin zone for the 2D materials composed of the elements of the IV main group. Moreover, the ‘3n + 1’ rule was derived as the condition for the DC formation in graphene-like silagraphene with SFS and used to design a silagraphene Si6C8 with DCs. Understanding the DC formation mechanism of 2D materials with SFS not only provides theoretical guidance for designing novel Dirac materials but also sheds light on the symmetry origin of the formation mechanism of DC.
Published: 2021

10. R+RG gravity with maximal Noether symmetry

Author: Yu E Pokrovsky
Subjects: Physics, History, Gravity (chemistry), symbols.namesake, symbols, Noether's theorem, Symmetry (physics), Computer Science Applications, Education, Mathematical physics
Abstract: A Noether symmetric, 3rd order polynomial in the Riemann curvature tensor R αβμν extension of the General Relativity (GR) without cosmological constant (R+RG gravity) is suggested and discussed as a possible fundamental theory of gravity in 4-dimensional space-time with the geometric part of the Lagrangian to be L R + R G = − g 2 k R ( 1 + G G P ) . Here k = 8 π G N c 4 is the Einstein constant, g = det ( g μ ν ) , g μ ν - the metric tensor, GN - the Newton constant, c - the speed of light, R = R μ ν μ ν - the Ricci scalar, G = R 2 − 4 R μ ν R μ ν + R α β μ ν R α β μ ν - the Gauss-Bonnet topological invariant, and GP - a new constant of the gravitational self-interaction to model the cosmological bounce, inflation, accelerated expansion of the Universe, etc. The best fit to the Baryon Acoustic Oscillations data for the Hubble parameter H (z) at the redshifts z G P 1 / 4 = ( 0.557 ± 0.014 ) T p c − 1 with the mean square weighted deviation from the data about 3 times smaller than for the standard cosmological (ΛCDM) model. Due to the self-gravitating term ∼RG the respective Einstein equation in the R+RG gravity contains the additional (tachyonic in the past and now) scalar (spin = 0) graviton and the perfect geometric fluid tensor with pressure-and matter-like terms equal to the respective terms in the ΛCDM model at |z| 1. Some predictions of this R+RG gravity for the Universe are also done.
Published: 2021

11. Exact solution of the two-axis two-spin Hamiltonian

Author: Yao-Zhong Zhang, Feng Pan, Yuqing Zhang, Yue Liang, Xiaohan Qi, and Jerry P. Draayer
Subjects: Statistics and Probability, Physics, Quantum Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Zero-point energy, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Symmetry (physics), Bethe ansatz, Exact solutions in general relativity, Excited state, Exactly Solvable and Integrable Systems (nlin.SI), Statistics, Probability and Uncertainty, Quantum Physics (quant-ph), Mathematical Physics, Hamiltonian (control theory), Mathematical physics, Spin-½, Boson
Abstract: Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived based on the Jordan-Schwinger boson realization of the SU(2) algebra. It is shown that the solution of the Bethe ansatz equations can be obtained as zeros of the related extended Heine-Stieltjes polynomials. Symmetry properties of excited levels of the system and zeros of the related extended Heine-Stieltjes polynomials are discussed. As an example of an application of the theory, the two equal spin case is studied in detail, which demonstrates that the levels in each band are symmetric with respect to the zero energy plane perpendicular to the level diagram and that excited states are always well entangled., 12 pages, 2 figures. The number of solutions and proof for their completeness, as well as some other minor changes, are provided in this revised version
Published: 2021

12. PT symmetry, pattern formation, and finite-density QCD

Author: Michael C. Ogilvie, Stella T. Schindler, and Moses A. Schindler
Subjects: Physics, Quantum chromodynamics, History, 010308 nuclear & particles physics, 0103 physical sciences, Pattern formation, 010306 general physics, 01 natural sciences, Symmetry (physics), Computer Science Applications, Education, Mathematical physics
Abstract: A longstanding issue in the study of quantum chromodynamics (QCD) is its behavior at nonzero baryon density, which has implications for many areas of physics. The path integral has a complex integrand when the quark chemical potential is nonzero and therefore has a sign problem, but it also has a generalized PT symmetry. We review some new approaches to PT -symmetric field theories, including both analytical techniques and methods for lattice simulation. We show that PT -symmetric field theories with more than one field generally have a much richer phase structure than their Hermitian counterparts, including stable phases with patterning behavior. The case of a PT -symmetric extension of a φ4 model is explained in detail. The relevance of these results to finite density QCD is explained, and we show that a simple model of finite density QCD exhibits a patterned phase in its critical region.
Published: 2021

13. Uniqueness of supersymmetric AdS5 black holes with SU(2) symmetry

Author: Sergei G. Ovchinnikov and James Lucietti
Subjects: High Energy Physics - Theory, Physics, Physics and Astronomy (miscellaneous), Horizon, Gauged supergravity, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Base (topology), General Relativity and Quantum Cosmology, Symmetry (physics), Black hole, High Energy Physics::Theory, High Energy Physics - Theory (hep-th), Mathematics::Differential Geometry, Uniqueness, Soliton, Special unitary group, Mathematical physics
Abstract: We prove that any supersymmetric solution to five-dimensional minimal gauged supergravity with $SU(2)$ symmetry, that is timelike outside an analytic horizon, is a Gutowski-Reall black hole or its near-horizon geometry. The proof combines a delicate near-horizon analysis with the general form for a K\"ahler metric with cohomogeneity-1 $SU(2)$ symmetry. We also prove that any timelike supersymmetric soliton solution to this theory, with $SU(2)$ symmetry and a nut or a complex bolt, has a K\"ahler base with enhanced $U(1)\times SU(2)$ symmetry, and we exhibit a family of asymptotically AdS$_5/\mathbb{Z}_p$ solitons for $p \geq 3$ with a bolt in this class., Comment: 33 pages. v2: minor edits, published version
Published: 2021

14. Solvable potentials in pseudo-hermetic Dirac equation with PT symmetry

Author: F. Soliemani and Zahra Bakhshi
Subjects: Physics, symbols.namesake, Dirac equation, symbols, Condensed Matter Physics, Mathematical Physics, Atomic and Molecular Physics, and Optics, Symmetry (physics), Mathematical physics
Published: 2021

15. Nonclassical Lie symmetry and conservation laws of the nonlinear time-fractional Korteweg–de Vries equation

Author: Mir Sajjad Hashemi, Ali Haji-Badali, Farzaneh Alizadeh, Mustafa Inc, and Mühendislik ve Doğa Bilimleri Fakültesi
Subjects: Physics, Conservation law, Current (mathematics), Physics and Astronomy (miscellaneous), Fractional Equation, Lie Symmetry Analysis, Classical And Non-Classical Symmetries, Lie group, Symmetry (physics), Nonlinear system, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Homogeneous space, Order (group theory), Korteweg–de Vries equation, Mathematical physics
Abstract: In this paper, we use the symmetry of the Lie group analysis as one of the powerful tools which that deals with the wide class of fractional order dierential equation in the Riemann-Liouville (RL) concept. In the current page, rst, we employ the classical and non-classical Lie symmetries (LS) to acquire similarity reductions of nonlinear fractional far eld Korteweg{de Vries (KdV) equation and second, we nd the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators acquired, we construct conservation laws (cl) for related classical and non-classical vector elds of fractional far eld KdV equation.
Published: 2021

16. Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables

Author: Tetsu Masuda, Nobutaka Nakazono, Nalini Joshi, and Kenji Kajiwara
Subjects: Statistics and Probability, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 010102 general mathematics, Mathematical analysis, FOS: Physical sciences, General Physics and Astronomy, Statistical and Nonlinear Physics, 16. Peace & justice, 01 natural sciences, Symmetry (physics), 14H70, 33E17, 34M55, 39A14, Constraint (information theory), Nonlinear Sciences::Exactly Solvable and Integrable Systems, Similarity (network science), Modeling and Simulation, 0103 physical sciences, Hexagonal lattice, 010307 mathematical physics, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Power function, Mathematical Physics, Mathematics, Discrete symmetry
Abstract: The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity constraint. We show that the defining equations are derived from the discrete symmetry of the Garnier system in two variables., 22 pages
Published: 2021

17. PT -symmetric electronics.

Author: Schindler, J., Lin, Z., Lee, J. M., Ramezani, H., Ellis, F. M., and Kottos, T.
Subjects: *SYMMETRY (Physics), *ELECTRONICS, *ELECTRIC circuits, *HERMITIAN operators, *ATTENUATION (Physics), *DIMERS, *ELECTRIC lines, *ELECTRONIC amplifiers, *MATHEMATICAL physics, *SCATTERING (Physics)
Abstract: We show both theoretically and experimentally that a pair of inductively coupled active LRC circuits (dimer), one with amplification and another with an equivalent amount of attenuation, display all the features which characterize a wide class of non-Hermitian systems which commute with the joint paritytime PT operator: typical normal modes, temporal evolution, and scattering processes. Utilizing a Liouvilian formulation, we can define an underlying PT -symmetric Hamiltonian, which provides important insight for understanding the behavior of the system. When the PT -dimer is coupled to transmission lines, the resulting scattering signal reveals novel features which reflect the PT -symmetry of the scattering target. Specifically we show that the device can show two different behaviors simultaneously, an amplifier or an absorber, depending on the direction and phase relation of the interrogatingwaves. Having an exact theory, and due to its relative experimental simplicity, PT -symmetric electronics offers new insights into the properties of PT -symmetric systems which are at the forefront of the research in mathematical physics and related fields. [ABSTRACT FROM AUTHOR]
Published: 2012
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18. Contribution of →E × →B drifts and parallel currents to divertor asymmetries.

Author: Rozhansky, V., Molchanov, P., Veselova, I., Voskoboynikov, S., Kirk, A., and Coster, D.
Subjects: *SYMMETRY (Physics), *TRANSPORT theory, *SIMULATION methods & models, *PARALLEL processing, *MATHEMATICAL physics, *THERMAL analysis
Abstract: A systematical study of →E×→B drift and parallel current effects is reported based on the analysis of the simulations by the B2SOLPS5.2 transport code. It is demonstrated that divertor asymmetry is caused or amplified by the poloidal →E × →B drift and parallel thermal current. [ABSTRACT FROM AUTHOR]
Published: 2012
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19. A classification of spherically symmetric spacetimes.

Author: Tupper, Brian O. J., Keane, Aidan J., and Carot, Jaume
Subjects: *SYMMETRY (Physics), *LORENTZ transformations, *METRIC spaces, *LIE algebras, *MATHEMATICAL decomposition, *MATHEMATICAL physics
Abstract: A complete classification of locally spherically symmetric four-dimensional Lorentzian spacetimes is given in terms of their local conformal symmetries. The general solution is given in terms of canonical metric types and the associated conformal Lie algebras. The analysis is based upon the local conformal decomposition into 2+2 reducible spacetimes and the Petrov type. A variety of physically meaningful example spacetimes are discussed. [ABSTRACT FROM AUTHOR]
Published: 2012
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20. Area and entropy spectra of black holes via an adiabatic invariant.

Author: Liu Cheng-Zhou
Subjects: *ENTROPY, *SPECTRUM analysis, *BLACK holes, *ADIABATIC invariants, *SYMMETRY (Physics), *MATHEMATICAL physics
Abstract: By considering and using an adiabatic invariant for black holes, the area and entropy spectra of static spherically-symmetric black holes are investigated. Without using quasi-normal modes of black holes, equally-spaced area and entropy spectra are derived by only utilizing the adiabatic invariant. The spectra for non-charged and charged black holes are calculated, respectively. All these results are consistent with the original Bekenstein spectra. [ABSTRACT FROM AUTHOR]
Published: 2012
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21. Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system.

Author: Jia Li-Qun, Zhang Mei-Ling, Wang Xiao-Xiao, and Han Yue-Lin
Subjects: *SYMMETRY (Physics), *APPROXIMATION theory, *CONSERVATION laws (Mathematics), *EQUATIONS of motion, *NONHOLONOMIC dynamical systems, *MATHEMATICAL physics
Abstract: A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structural equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results. [ABSTRACT FROM AUTHOR]
Published: 2012
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22. The Zel'dovich effect in harmonically trapped, ultracold quantum gases.

Author: Farrell, Aaron, MacDonald, Zachary, and van Zyl, Brandon P.
Subjects: *ULTRACOLD molecules, *QUANTUM theory, *CONDENSED matter, *NUCLEAR physics, *SYMMETRY (Physics), *MATHEMATICAL physics, *GASES
Abstract: We investigate the Zel'dovich effect in the context of ultracold, harmonically trapped quantum gases. We suggest that currently available experimental techniques in cold-atom research offer an exciting opportunity for a direct observation of the Zel'dovich effect without the difficulties imposed by conventional condensed matter and nuclear physics studies. We also demonstrate an interesting scaling symmetry in the level rearrangements which has heretofore gone unnoticed. [ABSTRACT FROM AUTHOR]
Published: 2012
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23. Dressed fermions, modular transformations and bosonization in the compactified Schwinger model.

Author: Fanuel, Michael and Govaerts, Jan
Subjects: *FERMIONS, *MATHEMATICAL transformations, *MATHEMATICAL models, *QUANTUM electrodynamics, *GAUGE invariance, *QUANTIZATION (Physics), *SYMMETRY (Physics), *MATHEMATICAL physics
Abstract: The celebrated exactly solvable 'Schwinger' model, namely massless twodimensional QED, is revisited. The solution presented here emphasizes the non-perturbative relevance of the topological sector through large gauge transformations whose role is made manifest by compactifying space into a circle. Eventually the well-known non-perturbative features and solution of the model are recovered in the massless case. However, the fermion mass term is shown to play a subtle role in order to achieve a physical quantization that accounts for gauge invariance under both small and large gauge symmetries. Quantization of the system follows Dirac's approach in an explicitly gaugeinvariant way that avoids any gauge-fixing procedure. [ABSTRACT FROM AUTHOR]
Published: 2012
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24. New features of scattering from a one-dimensional non-Hermitian (complex) potential.

Author: Ahmed, Zafar
Subjects: *SCATTERING (Physics), *HERMITIAN forms, *REFLECTANCE, *SYMMETRY (Physics), *EIGENVALUES, *NUMERICAL analysis, *MATHEMATICAL physics
Abstract: For complex one-dimensional potentials, we propose the asymmetry of both reflectivity and transmitivity under time reversal: R(-k) = R(k) and T (-k) = T (k), unless the potentials are real or PT-symmetric. For complex PT-symmetric scattering potentials, we propose that Rleft(-k) = Rright(k) and T (-k) = T (k). So far, the spectral singularities (SS) of a one-dimensional non-Hermitian scattering potential are witnessed/conjectured to be at most 1. We present a new non-Hermitian parametrization of the Scarf II potential to reveal its four new features. Firstly, it displays the just acclaimed (in)variances. Secondly, it can support two spectral singularities at two pre-assigned real energies (E* = α2, β2) either in T (k) or in T (-k),when αβ > 0. Thirdly, when αβ < 0 it possesses one SS in T (k) and the other in T (-k). Fourthly, when the potential becomes PT-symmetric [(α+β) = 0], we obtain T (k) = T (-k), it possesses a unique SS at E = α2 in both T (-k) and T (k). Lastly, for completeness, when α = iγ and β = iδ there are no SS, instead we get two real energies -γ 2 and -δ2 of the complex PT-symmetric Scarf II belonging to the two well-known branches of discrete bound-state eigenvalues. We find them as E+ M = -(γ - M)2 and E- N = -(δ - N)2; M(N) = 0, 1, 2, . . . with 0 M(N) < γ(δ). [ABSTRACT FROM AUTHOR]
Published: 2012
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25. Lie symmetry analysis, optimal system and conservation laws of a new (2+1)-dimensional KdV system

Author: Mengmeng Wang, Shoufeng Shen, and Li-Zhen Wang
Subjects: Physics, Conservation law, Physics and Astronomy (miscellaneous), One-dimensional space, Korteweg–de Vries equation, Symmetry (physics), Mathematical physics
Published: 2021

26. Supersymmetry with self-consistent Schrödinger–Poisson equations: finding partner potentials and breaking symmetry

Author: A. F. J. Levi and Amine Abouzaid
Subjects: Physics, symbols.namesake, symbols, General Physics and Astronomy, Supersymmetry, Self consistent, Poisson distribution, Symmetry (physics), Schrödinger's cat, Mathematical physics
Abstract: It is shown that isospectral Hamiltonians and partner potentials can be found for self-consistent solutions of the Schrödinger and Poisson equations in the presence of identical non-interacting electrons. Perturbation of these systems by an external electric field can be used to break symmetry and spectrally distinguish between states. For a given pair of partner potentials, symmetry may also be broken by a change of electron density or temperature.
Published: 2021

27. Exact Anti-Self-Dual four-manifolds with a Killing symmetry by similarity transformations

Author: Andronikos Paliathanasis
Subjects: Pure mathematics, Spacetime, Group (mathematics), Infinitesimal, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), Condensed Matter Physics, 01 natural sciences, General Relativity and Quantum Cosmology, Atomic and Molecular Physics, and Optics, Symmetry (physics), 010305 fluids & plasmas, Closed and exact differential forms, Mathematics - Analysis of PDEs, Similarity (network science), 0103 physical sciences, Homogeneous space, FOS: Mathematics, Invariant (mathematics), 010306 general physics, Mathematical Physics, Analysis of PDEs (math.AP), Mathematics
Abstract: We study the group properties and the similarity solutions for the constraint conditions of anti-self-dual null K\"{a}hler four-dimensional manifolds with at least a Killing symmetry vector. Specifically we apply the theory of Lie symmetries to determine all the infinitesimal generators of the one-parameter point transformations which leave the system invariant. We use these transformations to define invariant similarity transformations which are used to simplify the differential equations and find the exact form of the spacetime. We show that the constraint equations admit an infinite number of symmetries which can be used to construct an infinite number of similarity transformations., Comment: 20 pages, 7 figures, 4 tables; to appear in Physica Scripta
Published: 2021

28. Plasma-waves evolution and propagation modeled by sixth order Ramani and coupled Ramani equations using symmetry methods

Author: R. Saleh, Abdul-Majid Wazwaz, and A. S. Rashed
Subjects: Physics, Sixth order, Plasma, Condensed Matter Physics, Schwarzian derivative, Mathematical Physics, Atomic and Molecular Physics, and Optics, Symmetry (physics), Mathematical physics
Abstract: Nonlinear shock waves in plasma was modeled and studied using Ramani equation of sixth order and its coupled form representing the interaction between two waves. A new combined methodology of both Lie infinitesimal transformation and singular manifold methods was exploited to create analytical solutions. The method was extended to investigate a coupled system of evolution equations as same as a single evolution equation. Soliton solutions were created for both models.
Published: 2021

29. Some exact explicit solutions and conservation laws of Chaffee-Infante equation by Lie symmetry analysis

Author: M. Junaid-U-Rehman, Muhammad Bilal Riaz, Adil Jhangeer, and Abdon Atangana
Subjects: Conservation law, Condensed Matter Physics, Mathematical Physics, Atomic and Molecular Physics, and Optics, Symmetry (physics), Mathematics, Mathematical physics
Abstract: In this work, the tanh method is employed to compute some traveling wave patterns of the nonlinear third-order (2+1) dimensional Chaffee-Infante (CI) equation. The tanh technique is successfully used to get the traveling wave solutions of a considered model in the form of some hyperbolic functions. The Lie symmetry technique is used to analyze the Chaffee-Infante (CI) equation and compute the Infinitesimal generators under the invariance criteria of Lie groups. Then we construct the commutator table, adjoint representation table, and we have represented symmetry groups for each Infinitesimal generator. The optimal system and similarity reduction method is used to obtain some analytical solutions of the considered model. With the help of the similarity reduction method, we have converted the nonlinear partial differential equation into nonlinear ordinary differential equations (ODEs). Moreover, we have shown graphically obtained wave solutions by using the different values of involving parameters. Conserved quantities of nonlinear CI equation are obtained by the multiplier approach.
Published: 2021

30. Renormalization functions of the tricritical O(N)-symmetric Φ6 model beyond the next-to-leading order in 1/N

Author: S Sakhi
Subjects: Renormalization, Physics, Dimensional regularization, Scale (ratio), Dimension (graph theory), General Physics and Astronomy, Order (group theory), Renormalization group, Minimal subtraction scheme, Symmetry (physics), Mathematical physics
Abstract: We investigate higher-order corrections to the effective potential of the tricritical O(N)-symmetric Φ 6 model in 3-2ε dimensions in its phase exhibiting spontaneous breaking of its scale symmetry. The renormalization group β-function and the anomalous dimension γ of this model are computed up to the next-to-next-to-leading order in the1/N expansion technique and using a dimensional regularization in a minimal subtraction scheme.
Published: 2021

31. Optimal system, symmetry reductions and group-invariant solutions of (2+1)-dimensional ZK-BBM equation

Author: Dig Vijay Tanwar
Subjects: Physics, Group (mathematics), One-dimensional space, Invariant (mathematics), Condensed Matter Physics, Mathematical Physics, Atomic and Molecular Physics, and Optics, Symmetry (physics), Mathematical physics
Abstract: The present article intends to generate optimal system of one dimensional subalgebra and group–invariant solutions of ZK–BBM equation with the aid of Lie group theory. The ZK–BBM equation is long wave equation with large wavelength, which describes the water wave phenomena in nonlinear dispersive system. The infinitesimal vectors, commutative relations and invariant functions for optimal system of ZK–BBM equation are derived under invariance of Lie groups. The invariance property leads to the reduction of independent variable and leaves the system invariant. Based on the optimal system, ZK–BBM equation is transformed into ordinary differential equations by twice reductions. These ODEs are solved under parametric constraints and result into invariant solutions. The obtained solutions are analyzed physically based on their numerical simulation. Consequently, elastic multisoliton, dark and bright lumps, compacton and annihilation profiles of the solutions are well presented graphically.
Published: 2021

32. Noether’s theorem, the Rund–Trautman function, and adiabatic invariance

Author: Thierry Gourieux and Raphaël Leone
Subjects: Physics, Conservation law, Constant of motion, 05 social sciences, 050301 education, General Physics and Astronomy, Context (language use), Function (mathematics), 01 natural sciences, Symmetry (physics), symbols.namesake, 0103 physical sciences, symbols, Noether's theorem, 010306 general physics, Adiabatic process, 0503 education, Harmonic oscillator, Mathematical physics
Abstract: This article focuses on the recognition of an important quantity that will be called the Rund–Trautman function. It already plays a central role in Noether’s theorem since its vanishing characterizes a symmetry and leads to a conservation law. The main aim of the paper will be to show how, in the realm of classical mechanics, an ‘almost’ vanishing Rund–Trautman function accompanying an ‘almost’ symmetry leads to an ‘almost’ constant of motion, especially within the adiabatic hypothesis for which the ‘almostness’ in question is in some sense measured by the slowness of time-dependent parameters. To this end, the Rund–Trautman function is first introduced and analyzed in detail, then it is implemented for the general one-dimensional problem. Finally, its relevance in the adiabatic context is examined through the example of the harmonic oscillator with a slowly varying frequency. Notably, for some frequency profiles, explicit expansions of adiabatic invariants are derived through it and an illustrative numerical test is realized.
Published: 2021

33. Spin-half bosonic classification

Author: A. R. Aguirre and R. J. Bueno Rogerio
Subjects: High Energy Physics - Theory, Condensed Matter::Quantum Gases, Physics, Spinor, Mass dimension, Dirac (software), FOS: Physical sciences, General Physics and Astronomy, Symmetry (physics), Local theory, symbols.namesake, High Energy Physics - Theory (hep-th), Dirac fermion, symbols, Spin-½, Mathematical physics, Boson
Abstract: In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently provide a local theory, belong to a specific subclass of class-2 spinors within the bosonic classification, playing a similar role to Dirac spinors within the Lounesto classification. Such bosonic classification is shown to be closely connected with the usual fermionic Lounesto classification, and thus, evincing a symmetry between Dirac fermions and spin-half bosons., 5 pages
Published: 2021

34. Lie symmetry and Hojman conserved quantity of Nambu system.

Author: Lin Peng, Fang Jian, Hui and, and Pang Ting
Subjects: *SYMMETRY (Physics), *EQUATIONS, *MATHEMATICAL physics, *MATHEMATICAL analysis, *NUMERICAL analysis, *LIE algebras
Abstract: This paper studies the Lie symmetry and Hojman conserved quantity of the Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results. [ABSTRACT FROM AUTHOR]
Published: 2008
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35. Quantum superintegrable systems for arbitrary spin.

Subjects: *QUANTUM theory, *SYSTEM analysis, *MAGNETIC dipoles, *SYMMETRY (Physics), *MATHEMATICAL physics
Abstract: In Pronko and Stroganov (1977 Zh. Eksp. Teor. Fiz. 72 2048, 1997 Sov. Phys.--JETP 45 1072) the superintegrable system which describes the magnetic dipole with spin \frac{1}{2} (neutron) in the field of linear current was considered. Here we present its generalization for any spin which preserves superintegrability. The dynamical symmetry stays the same as it is for spin \frac{1}{2} . [ABSTRACT FROM AUTHOR]
Published: 2007
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36. The presence and lack of Fermi acceleration in nonintegrable billiards.

Author: S Oliffson, E D Leonel, and J K L da
Subjects: *ACCELERATION (Mechanics), *FORCE & energy, *OSCILLATIONS, *NUMERICAL analysis, *DISPERSION (Chemistry), *SYMMETRY (Physics), *MATHEMATICAL physics
Abstract: The unlimited energy growth (Fermi acceleration) of a classical particle moving in a billiard with a parameter-dependent boundary oscillating in time is numerically studied. The shape of the boundary is controlled by a parameter and the billiard can change from a focusing one to a billiard with dispersing pieces of the boundary. The complete and simplified versions of the model are considered in the investigation of the conjecture that Fermi acceleration will appear in the time-dependent case when the dynamics is chaotic for the static boundary. Although this conjecture holds for the simplified version, we have not found evidence of Fermi acceleration for the complete model with a breathing boundary. When the breathing symmetry is broken, Fermi acceleration appears in the complete model. [ABSTRACT FROM AUTHOR]
Published: 2007
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37. New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations.

Author: Roman Cherniha and Oleksii Pliukhin
Subjects: *SYMMETRY (Physics), *NONLINEAR theories, *NUMERICAL solutions to reaction-diffusion equations, *HEAT convection, *THERMAL diffusivity, *MATHEMATICAL physics
Abstract: A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known results for reaction-diffusion equations with power diffusivities follow as particular cases from those obtained here but not vice versa. The symmetries obtained for constructing exact solutions of the relevant equations are successfully applied. In the particular case, new exact solutions of nonlinear reaction-diffusion-convection equations arising in application and their natural generalizations are found. [ABSTRACT FROM AUTHOR]
Published: 2007
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38. Complexified dynamical systems.

Author: Carl M Bender, Darryl D Holm, and Daniel W Hook
Subjects: *COMPLEXITY (Philosophy), *ROTATIONAL motion (Rigid dynamics), *PREDATION, *EULER characteristic, *SYMMETRY (Physics), *MATHEMATICAL physics
Abstract: Many dynamical systems, such as the Lotka-Volterra predator-prey model and the Euler equations for the free rotation of a rigid body, are symmetric. The standard and well-known real solutions to such dynamical systems constitute an infinitessimal subclass of the full set of complex solutions. This paper examines a subset of the complex solutions that contains the real solutions, namely those having symmetry. The condition of symmetry selects out complex solutions that are periodic. [ABSTRACT FROM AUTHOR]
Published: 2007
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39. The ODE/IM correspondence.

Author: Patrick Dorey, Clare Dunning, and Roberto Tateo
Subjects: *QUANTUM field theory, *DIFFERENTIAL equations, *SYMMETRY (Physics), *QUANTUM theory, *BETHE-ansatz technique, *MATHEMATICAL physics
Abstract: This paper reviews a recently discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects of -symmetric quantum mechanics are discussed, and some elementary features of the six-vertex model and the Bethe ansatz are explained. [ABSTRACT FROM AUTHOR]
Published: 2007
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40. Symmetries and invariant solutions for the geometric heat flows.

Author: Qing Huang and Changzheng Qu
Subjects: *SYMMETRY (Physics), *INVARIANTS (Mathematics), *NUMERICAL solutions to heat equation, *GEOMETRIC analysis, *LIE algebras, *MATHEMATICAL physics
Abstract: We study Lie symmetries and invariant solutions of the geometric heat flows. The basic similarity reductions for the GHE are performed. Reduced equations and exact solutions associated with the symmetries are obtained. Group-invariant solutions and reductions for the affine case are also discussed in a special case. [ABSTRACT FROM AUTHOR]
Published: 2007
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41. A two-level atom coupled to a two-dimensional supersymmetric and shape-invariant system: models.

Author: A N F Aleixo and A B Balantekin
Subjects: *SUPERSYMMETRY, *HAMILTONIAN operator, *MATHEMATICAL physics, *PHYSICS research, *SYMMETRY (Physics)
Abstract: A class of bound-state problems which represents the coupling of a two-level atom with a two-dimensional supersymmetric system involving two shape-invariant potentials is introduced. We study two models with different coupling Hamiltonians. [ABSTRACT FROM AUTHOR]
Published: 2007
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42. A two-level atom coupled to a two-dimensional supersymmetric and shape-invariant system: dynamics and entanglement.

Author: A N F Aleixo and A B Balantekin
Subjects: *SUPERSYMMETRY, *QUANTUM theory, *HAMILTONIAN operator, *MATHEMATICAL physics, *PHYSICS research, *SYMMETRY (Physics)
Abstract: A class of bound-state problems which represent the coupling of a two-level atom with a two-dimensional supersymmetric system involving two shape-invariant potentials was introduced in a previous paper. We study in this second paper the quantum dynamics and the entanglement for two models with different coupling Hamiltonians. [ABSTRACT FROM AUTHOR]
Published: 2007
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43. A rigorous framework for Leslie's model of homogeneous anisotropic turbulence.

Subjects: *MATHEMATICAL models of turbulence, *ANISOTROPY, *SYMMETRY (Physics), *VECTOR spaces, *MATHEMATICAL physics
Abstract: Leslie, in the book Developments in the Theory of Turbulence(1973 Oxford: Clarendon), offered a very simple and intuitively founded model for the case of homogeneous anisotropic turbulence. Here, we offer a rigorous reformulation of Leslie's model leading to a general form for the velocity correlation tensor that satisfies realizability conditions like symmetry in its tensor indices and the condition of solenoidality arising from the incompressibility condition. The anisotropic part of the correlation tensor involves two non-dimensional constants-one arising from the pure strain term and the other from the term that induces distortion in the wave vector space; the rapid pressure term does not contribute. The estimates for these non-dimensional constants yield encouraging results within this framework. [ABSTRACT FROM AUTHOR]
Published: 2007
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44. An analytical calculation of neighbourhood order probabilities for high dimensional Poissonian processes and mean field models.

Author: César Augusto, Sangaletti Ter, Felipe de Moura, Kiipper and, and Alexandre Souto
Subjects: *POISSON processes, *HYPERCUBES, *PROBABILITY theory, *THERMODYNAMICS, *SYMMETRY (Physics), *MATHEMATICAL physics, *MEAN field theory
Abstract: Consider that the coordinates of Npoints are randomly generated along the edges of a d-dimensional hypercube (random point problem). The probability P(d,N)m,nthat an arbitrary point is the mth nearest neighbour to its own nth nearest neighbour (Cox probabilities) plays an important role in spatial statistics. Also, it has been useful in the description of physical processes in disordered media. Here we propose a simpler derivation of Cox probabilities, where we stress the role played by the system dimensionality d. In the limit d? ?, the distances between pair of points become independent (random link model) and closed analytical forms for the neighbourhood probabilities are obtained both for the thermodynamic limit and finite-size system. Breaking the distance symmetry constraint drives us to the random map model, for which the Cox probabilities are obtained for two cases: whether a point is its own nearest neighbour or not. [ABSTRACT FROM AUTHOR]
Published: 2007

45. Potential symmetries to systems of nonlinear diffusion equations.

Subjects: *HEAT equation, *SYMMETRY (Physics), *MATHEMATICAL variables, *VECTOR fields, *MATHEMATICAL physics, *NONLINEAR differential equations
Abstract: In this paper, the potential symmetry method is developed to study systems of nonlinear diffusion equations. Potential variables of the systems are introduced through conservation laws; such conservation laws yield equivalent systems-auxiliary systems of PDEs with the given dependent and potential variables as new dependent variables. Lie point symmetries of the auxiliary systems which cannot be projected to the vector fields of the given dependent and independent variables yield potential symmetries of the systems. Classification for systems of nonlinear diffusion equations with two and three components is performed. Symmetry reductions associated with the potential symmetries are presented. [ABSTRACT FROM AUTHOR]
Published: 2007
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46. Kac-Moody-Virasoro symmetry algebra and symmetry reductions of the bilinear sinh-Gordon equation in (2 + 1)-dimensions.

Author: Hua Li, Man Jia, and S Y Lou
Subjects: *KAC-Moody algebras, *SYMMETRY (Physics), *LIE algebras, *PHYSICS research, *MATHEMATICAL analysis, *MATHEMATICAL physics
Abstract: By means of the formal series symmetry approach proposed in [1], infinite many symmetries and the corresponding Kac-Moody-Virasoro Lie symmetry algebra of a new bilinear (2 + 1)-dimensional sinh-Gordon equation are given. Then, the obtained symmetries are used to get the symmetry reductions of the model. From one of the special reduction we know that the bilinear form of the first member of the negative Kadomtsev-Petviashvili hierarchy is not only a (2 + 1)-dimensional sinh-Gordon extension but also a novel (2 + 1)-dimensional classical Boussinesq extension. [ABSTRACT FROM AUTHOR]
Published: 2007
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47. On the asymptotic behaviour of 2D stationary Navier–Stokes solutions with symmetry conditions

Author: Agathe Decaster, Dragoş Iftimie, Équations aux dérivées partielles, analyse (EDPA), Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), ANR-13-BS01-0003,DYFICOLTI,DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces(2013), and ANR-10-LABX-0070,MILYON,Community of mathematics and fundamental computer science in Lyon(2010)
Subjects: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Forcing (recursion theory), Applied Mathematics, media_common.quotation_subject, 010102 general mathematics, Mathematical analysis, General Physics and Astronomy, Statistical and Nonlinear Physics, Navier–Stokes existence and smoothness, Non-dimensionalization and scaling of the Navier–Stokes equations, Infinity, 01 natural sciences, Symmetry (physics), 010101 applied mathematics, Hagen–Poiseuille flow from the Navier–Stokes equations, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Vector field, 0101 mathematics, Reynolds-averaged Navier–Stokes equations, ComputingMilieux_MISCELLANEOUS, Mathematical Physics, Mathematics, media_common
Abstract: We consider the 2D stationary incompressible Navier-Stokes equations in 2. Under suitable symmetry, smallness and decay at infinity conditions on the forcing we determine the behaviour at infinity of the solutions. Moreover, when the forcing is small, satisfies suitable symmetry conditions and decays at infinity like a vector field homogeneous of degree -3, we show that there exists a unique small solution whose asymptotic behaviour at infinity is homogeneous of degree -1.
Published: 2017

48. On the blow-up phenomena of solutions for the full compressible Euler equations in ${{\mathbb{R}}^{N}}$

Author: Xinglong Wu
Subjects: Applied Mathematics, 010102 general mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Fluid mechanics, 01 natural sciences, Backward Euler method, Symmetry (physics), Euler equations, 010101 applied mathematics, symbols.namesake, Classical mechanics, Compressibility, symbols, Fluid dynamics, Circular symmetry, 0101 mathematics, Mathematical Physics, Mathematics
Abstract: In fluid dynamics, blow-up phenomena of solutions is interesting and challenging to physicists and mathematicians. The present paper is devoted to studying blow-up phenomena of the spherically symmetric solutions for the full compressible Euler equations in . The approach is to a construct special explicit solution with spherical symmetry to study certain blow-up phenomena of solutions to the full compressible Euler equation in . We also discuss steady-state smooth solutions of spherical symmetry to equation (1.1).
Published: 2016

49. Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd- PT symmetry

Author: Avadh Saxena, Efstathios G. Charalampidis, Avinash Khare, Frederick Cooper, and John F. Dawson
Subjects: Statistics and Probability, Physics, symbols.namesake, Nonlinear system, Modeling and Simulation, symbols, General Physics and Astronomy, Statistical and Nonlinear Physics, Nonlinear Sciences - Pattern Formation and Solitons, Mathematical Physics, Symmetry (physics), Schrödinger equation, Mathematical physics
Abstract: We discuss the response of both moving and trapped solitary wave solutions of a nonlinear two-component nonlinear Schr\"odinger system in 1+1 dimensions to an anti-$\mathcal{PT}$ external periodic complex potential. The dynamical behavior of perturbed solitary waves is explored by conducting numerical simulations of the nonlinear system and using a collective coordinate variational approximation. We present case examples corresponding to choices of the parameters and initial conditions involved therein. The results of the collective coordinate approximation are compared against numerical simulations where we observe qualitatively good agreement between the two. Unlike the case for a single-component solitary wave in a complex periodic $\mathcal{PT}$-symmetric potential, the collective coordinate equations do not have a small oscillation regime, and initially the height of the two components changes in opposite directions often causing instability. We find that the dynamic stability criteria we have used in the one-component case is proven to be a good indicator for the onset of dynamic instabilities in the present setup., Comment: 28 pages, 7 figures
Published: 2021

50. Approximate symmetries of guiding-centre motion

Author: Robert S. MacKay, Nikos Kallinikos, and Joshua W. Burby
Subjects: Statistics and Probability, Physics, FOS: Physical sciences, General Physics and Astronomy, Motion (geometry), Statistical and Nonlinear Physics, Mathematical Physics (math-ph), 01 natural sciences, Conserved quantity, Physics - Plasma Physics, Symmetry (physics), Charged particle, 010305 fluids & plasmas, Magnetic field, Plasma Physics (physics.plasm-ph), Continuous symmetry, Modeling and Simulation, 0103 physical sciences, Homogeneous space, QA, 010306 general physics, QC, Mathematical Physics, Hamiltonian (control theory), Mathematical physics
Abstract: In a strong, inhomogeneous magnetic field, charged particle dynamics may be studied in the guiding-centre approximation, which is known to be Hamiltonian. When the magnetic field is quasisymmetric, the first-order guiding-centre (FGC) Hamiltonian structure admits a continuous symmetry, and therefore a conserved quantity in addition to the energy. Since the FGC system is only an approximation, it is also interesting to consider approximate symmetries of the guiding-centre Hamiltonian structure. We find that any approximate spatial symmetry coincides with quasisymmetry to leading order. For approximate phase-space symmetries, we derive weaker conditions than quasisymmetry. The latter include ‘weak quasisymmetry’ as a subcase, recently proposed by Rodríguez et al. Our results, however, show that weak quasisymmetry is necessarily non-spatial at first order. Finally, we demonstrate that if the magnetic field is constrained to satisfy magnetohydrostatic force balance then an approximate symmetry must agree with quasisymmetry to leading order.
Published: 2021

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