On Dunkl angular momenta algebra
| Parent link: | Journal of High Energy Physics: Scientific Journal Vol. 2015, Iss. 11.— 2015.— [107, 22 p.] |
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| Summary: | 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 |
| Sprog: | engelsk |
| Udgivet: |
2015
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| Serier: | Regular Article - Theoretical Physics |
| Fag: | |
| Online adgang: | http://dx.doi.org/10.1007/JHEP11(2015)107 |
| Format: | Electronisk Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646391 |
MARC
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| 200 | 1 | |a On Dunkl angular momenta algebra |f M. Feigin, T. S. Akopyan (Hakobyan) | |
| 203 | |a Text |c electronic | ||
| 225 | 1 | |a Regular Article - Theoretical Physics | |
| 300 | |a Title screen | ||
| 320 | |a [References: 41 tit.] | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Journal of High Energy Physics |o Scientific Journal | ||
| 463 | |t Vol. 2015, Iss. 11 |v [107, 22 p.] |d 2015 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a интегрируемые уравнения | |
| 610 | 1 | |a физика | |
| 700 | 1 | |a Feigin |b M. |g Misha | |
| 701 | 1 | |a Akopyan (Hakobyan) |b T. S. |c physicist |c Professor of Tomsk Polytechnic University, doctor of physical and mathematical sciences |f 1965- |g Tigran Stepanovich |3 (RuTPU)RU\TPU\pers\35457 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |3 (RuTPU)RU\TPU\col\18727 |
| 801 | 2 | |a RU |b 63413507 |c 20171120 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1007/JHEP11(2015)107 | |
| 942 | |c CF | ||