The Bogoliubov c-Number Approximation for Random Boson Systems

Authors :: Zagrebnov, Valentin
Zagrebnov, Valentin
Institut de Mathématiques de Marseille (I2M)
Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
Source :: Proceedings of the Kiev Institute of Mathematics, Proceedings of the Kiev Institute of Mathematics, 2014, 11 (1), pp.123-140
Publication Year :: 2014
Publisher :: HAL CCSD, 2014.
Abstract: We justify the Bogoliubov c-number approximation for the case of interacting Bose-gas in a homogeneous random media. To this aim we take into account occurrence of generalised extended/fragmented Bose-Einstein condensation in an infinitesimal band of low kinetic-energy modes, to generalise the c-number substitution procedure for this band of low-momenta modes.

Subjects :: Condensed Matter::Quantum Gases
Generalized Bose-Einstein Condensation
Bogoliubov
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Condensed Matter::Other
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
82B10, 82B23, 81V70
Bogoliubov Quasi-Averages
Random Potentials
Berezin-Lieb Inequality
c-number Approximation

Language :: Ukrainian
Database :: OpenAIRE
Journal :: Proceedings of the Kiev Institute of Mathematics, Proceedings of the Kiev Institute of Mathematics, 2014, 11 (1), pp.123-140
Accession number :: edsair.dedup.wf.001..03ac9ccea49233e126f8ca414e05a9f7

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