Отправить статью по E-mail Calogero–Sutherland system with two types interacting spins
- Авторы: Kharchev S.1,2, Levin A.1,3, Olshanetsky M.1,2, Zotov A.1,4
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Учреждения:
- Institute for Theoretical and Experimental Physics
- Institute for Information Transmission Problems (Kharkevich Institute)
- International Laboratory for Mirror Symmetry and Automorphic Forms, Faculty of Mathematics
- Steklov Mathematical Institute
- Выпуск: Том 106, № 3 (2017)
- Страницы: 179-183
- Раздел: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/160335
- DOI: https://doi.org/10.1134/S0021364017150024
- ID: 160335
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Аннотация
We consider the classical Calogero–Sutherland system with two types of interacting spin variables. It can be reduced to the standard Calogero–Sutherland system, when one of the spin variables vanishes. We describe the model in the Hitchin approach and prove complete integrability of the system by constructing the Lax pair and the classical r-matrix with the spectral parameter on a singular curve.
Об авторах
S. Kharchev
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
Автор, ответственный за переписку.
Email: kharchev@itep.ru
Россия, Moscow, 117218; Moscow, 127994
A. Levin
Institute for Theoretical and Experimental Physics; International Laboratory for Mirror Symmetry and Automorphic Forms, Faculty of Mathematics
Email: kharchev@itep.ru
Россия, Moscow, 117218; Moscow, 119048
M. Olshanetsky
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
Email: kharchev@itep.ru
Россия, Moscow, 117218; Moscow, 127994
A. Zotov
Institute for Theoretical and Experimental Physics; Steklov Mathematical Institute
Email: kharchev@itep.ru
Россия, Moscow, 117218; Moscow, 119991
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