On Dunkl angular momenta algebra; Journal of High Energy Physics; Vol. 2015, Iss. 11
| Parent link: | Journal of High Energy Physics: Scientific Journal Vol. 2015, Iss. 11.— 2015.— [107, 22 p.] |
|---|---|
| 主要作者: | |
| 企业作者: | |
| 其他作者: | |
| 总结: | Title screen We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all the defining relations of the algebra, which appear to be quadratic, and we show that the algebra is of Poincarй-Birkhoff-Witt (PBW) type. We show that this algebra contains the angular part of the Calogero-Moser Hamiltonian and that together with constants it generates the centre of the algebra. We also consider the gl(N ) version of the subalge-bra of the rational Cherednik algebra and show that it is a non-homogeneous quadratic algebra of PBW type as well. In this case the central generator can be identified with the usual Calogero-Moser Hamiltonian associated with the Coxeter group in the harmonic confinement. Режим доступа: по договору с организацией-держателем ресурса |
| 语言: | 英语 |
| 出版: |
2015
|
| 丛编: | Regular Article - Theoretical Physics |
| 主题: | |
| 在线阅读: | http://dx.doi.org/10.1007/JHEP11(2015)107 |
| 格式: | 电子 本书章节 |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646391 |