|
| | | | |
| | | |
| Stat |
Members: 3664
Articles: 2'599'751
Articles rated: 2609
27 December 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Braided Heisenberg Group | | W.K.Baskerville
; S.Majid
; | | Date: |
8 Oct 1992 | | Journal: | J.Math.Phys. 34 (1993) 3588-3606 | | Subject: | hep-th | | Abstract: | We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group. We also show that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra $U_{q}(h)$, and use this result to derive an action of $U_{q}(h)$ on the braided groups. We then demonstrate the various covariance properties using the braided Heisenberg group as an explicit example. In addition, the braided Heisenberg group is found to be self-dual. Finally, we discuss a physical application to a system of n braided harmonic oscillators. An isomorphism is found between the n-fold braided and unbraided tensor products, and the usual `free’ time evolution is shown to be equivalent to an action of a primitive generator of $U_{q}(h)$ on the braided tensor product. | | Source: | arXiv, hep-th/9210042 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER