Calogero–Sutherland system with two types interacting spins
- 作者: Kharchev S.1,2, Levin A.1,3, Olshanetsky M.1,2, Zotov A.1,4
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隶属关系:
- 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
- 期: 卷 106, 编号 3 (2017)
- 页面: 179-183
- 栏目: 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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详细
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.
作者简介
S. Kharchev
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
编辑信件的主要联系方式.
Email: kharchev@itep.ru
俄罗斯联邦, 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
俄罗斯联邦, Moscow, 117218; Moscow, 119048
M. Olshanetsky
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
Email: kharchev@itep.ru
俄罗斯联邦, Moscow, 117218; Moscow, 127994
A. Zotov
Institute for Theoretical and Experimental Physics; Steklov Mathematical Institute
Email: kharchev@itep.ru
俄罗斯联邦, Moscow, 117218; Moscow, 119991
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