Nota de FísicaPublicado
Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
P. G. Castro; B. Chakraborty
Dados da publicação
- Autores
- P. G. Castro; B. Chakraborty
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 29/05/2008
- Descrição
- By 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 $\mathcal{U}(h)$ and eventually deform it through Drinfeld twist. This Hopf algebraic structure and its deformed version $\mathcal{U}^{\mathcal F}(h)$ is shown to be induced from a more ``fundamental" Hopf algebra obtained from the Schr\"odinger 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.
- Ano
- 2008
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não