Wigner Oscillators, Twisted Hopf Algebras and Second Quantization

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dc.creatorCastro, P. G.
dc.creatorChakraborty, B.
dc.creatorToppan, F.
dc.date2008-04-18
dc.date.accessioned2026-07-07T11:49:58Z
dc.date.available2026-07-07T11:49:58Z
dc.descriptionBy correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the corresponding enveloping algebra U(h) and eventually deform it through Drinfeld twist. This Hopf algebraic structure and its deformed version U^F(h) are shown to be induced from a more fundamental Hopf algebra obtained from the Schroedinger field/oscillator algebra and its deformed version, provided that the fields/oscillators are regarded as odd-elements of the super-algebra osp(1|2n). We also discuss the possible implications in the context of quantum statistics.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0804.2936
dc.identifierhttp://arxiv.org/abs/0804.2936
dc.identifierJ.Math.Phys.49:082106,2008
dc.identifierdoi:10.1063/1.2970042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203421
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleWigner Oscillators, Twisted Hopf Algebras and Second Quantization
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