Physics NotePublished
Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
P. G. Castro; B. Chakraborty
Publication details
- Authors
- P. G. Castro; B. Chakraborty
- Type
- Physics Note
- Status
- Published
- Publication date
- 29/05/2008
- Description
- 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.
- Year
- 2008
- Linked to a thesis
- No
- Linked to a grant
- No