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Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation.
- Source :
-
Journal of Mathematical Physics . Mar2011, Vol. 52 Issue 3, p032102. 16p. - Publication Year :
- 2011
-
Abstract
- Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues making the quantization possible are solved. The spectrum of the single-particle Hamiltonians is computed. The multiparticle Hamiltonians are fixed, unambiguously, by the Hopf algebra coproduct. The symmetry under particle exchange is guaranteed. In d = 2 dimensions the rotational invariance is preserved, while in d = 3 the so(3) rotational invariance is broken down to an so(2) invariance. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 52
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 59744012
- Full Text :
- https://doi.org/10.1063/1.3562510