Wigner oscillators, twisted Hopf algebras, and second quantization
Journal Article
·
· Journal of Mathematical Physics
- CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180 Rio de Janeiro (Brazil)
By correctly identifying the role of the 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 the Drinfeld twist. This Hopf algebraic structure and its deformed version U{sup 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 a given superalgebra. We also discuss the possible implications in the context of quantum statistics.
- OSTI ID:
- 21100355
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 49; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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