IntegrableN-dimensional systems on the Hopf algebra andq-deformations; Theoretical and Mathematical Physics; Vol. 124, iss. 3
| Parent link: | Theoretical and Mathematical Physics: Scientific Journal Vol. 124, iss. 3.— 2000.— [P. 1172-1186] |
|---|---|
| Autor principal: | |
| Altres autors: | |
| Sumari: | Title screen We construct the class of integrable classical and quantum systems on the Hopf algebras describing n interacting particles. We obtain the general structure of an integrable Hamiltonian system for the Hopf algebra A(g) of a simple Lie algebra g and prove that the integrals of motion depend only on linear combinations of k coordinates of the phase space, 2·ind g≤k≤g·ind g, whereind g andg are the respective index and Coxeter number of the Lie algebra g. The standard procedure of q-deformation results in the quantum integrable system. We apply this general scheme to the algebras sl(2), sl(3), and o(3, 1). An exact solution for the quantum analogue of the N-dimensional Hamiltonian system on the Hopf algebra A(sl(2)) is constructed using the method of noncommutative integration of linear differential equations Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | anglès |
| Publicat: |
2000
|
| Matèries: | |
| Accés en línia: | http://link.springer.com/article/10.1007%2FBF02550996 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636555 |
MARC
| LEADER | 00000nla0a2200000 4500 | ||
|---|---|---|---|
| 001 | 636555 | ||
| 005 | 20250331092733.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\583 | ||
| 035 | |a RU\TPU\network\559 | ||
| 090 | |a 636555 | ||
| 100 | |a 20140213d2000 k||y0rusy50 ba | ||
| 101 | 0 | |a eng | |
| 102 | |a US | ||
| 135 | |a drnn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a IntegrableN-dimensional systems on the Hopf algebra andq-deformations |f Ya. V. Lisitsyn, A. V. Shapovalov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 319 (18 tit.)] | ||
| 330 | |a We construct the class of integrable classical and quantum systems on the Hopf algebras describing n interacting particles. We obtain the general structure of an integrable Hamiltonian system for the Hopf algebra A(g) of a simple Lie algebra g and prove that the integrals of motion depend only on linear combinations of k coordinates of the phase space, 2·ind g≤k≤g·ind g, whereind g andg are the respective index and Coxeter number of the Lie algebra g. The standard procedure of q-deformation results in the quantum integrable system. We apply this general scheme to the algebras sl(2), sl(3), and o(3, 1). An exact solution for the quantum analogue of the N-dimensional Hamiltonian system on the Hopf algebra A(sl(2)) is constructed using the method of noncommutative integration of linear differential equations | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Theoretical and Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 124, iss. 3 |v [P. 1172-1186] |d 2000 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Lisitsyn |b Ya. V. | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
| 856 | 4 | |u http://link.springer.com/article/10.1007%2FBF02550996 | |
| 942 | |c CF | ||