Degenerate integrability of quantum spin Calogero–Moser systems

被引：0
|
作者：
Nicolai Reshetikhin
机构：
[1] University of California,Department of Mathematics
[2] ITMO University,KdV Institute for Mathematics
[3] University of Amsterdam,undefined
来源：
Letters in Mathematical Physics | 2017年 / 107卷
关键词：
Quantum; Superintegrable; Calogero–Moser; 81E12; 22E46; 22E45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main result of this note is the proof of degenerate quantum integrability of quantum spin Calogero–Moser systems and the description of the spectrum of quantum Hamiltonians in terms of the decomposition of tensor products of irreducible representations of corresponding Lie algebra.
引用
收藏
页码：187 / 200
页数：13
相关论文
共 50 条
  • [41] On the solutions of 3-particle spin elliptic Calogero-Moser systems
    Barba, J. C.
    Inozemtsev, V. I.
    PHYSICS LETTERS A, 2008, 372 (38) : 5951 - 5954
  • [42] ON THE INTEGRABILITY OF THE CALOGERO-MOSER SYSTEM IN AN EXTERNAL QUARTIC POTENTIAL AND OTHER MANY-BODY SYSTEMS
    WOJCIECHOWSKI, S
    PHYSICS LETTERS A, 1984, 102 (03) : 85 - 88
  • [43] The quantum angular Calogero-Moser model
    Feigin, Mikhail
    Lechtenfeld, Olaf
    Polychronakos, Alexios P.
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (07):
  • [44] Quantum discord of thermal states of a spin chain with Calogero-Moser type interaction
    Ma XiaoSan
    Qiao Ying
    Zhao GuangXing
    Wang AnMin
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2013, 56 (03) : 600 - 605
  • [45] Quantum discord of thermal states of a spin chain with Calogero-Moser type interaction
    MA XiaoSan
    QIAO Ying
    ZHAO GuangXing
    WANG AnMin
    Science China(Physics,Mechanics & Astronomy), 2013, (03) : 600 - 605
  • [46] Quantum discord of thermal states of a spin chain with Calogero-Moser type interaction
    XiaoSan Ma
    Ying Qiao
    GuangXing Zhao
    AnMin Wang
    Science China Physics, Mechanics and Astronomy, 2013, 56 : 600 - 605
  • [47] On the eigenfunctions of hyperbolic quantum Calogero-Moser-Sutherland systems in a Morse potential
    van Diejen, J. F.
    LETTERS IN MATHEMATICAL PHYSICS, 2020, 110 (06) : 1215 - 1235
  • [48] Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems
    Fedoruk, Sergey
    Ivanov, Evgeny
    Lechtenfeld, Olaf
    Sidorov, Stepan
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (04):
  • [49] Quantum generalized Calogero-Moser systems from free Hamiltonian reduction
    Kowalczyk-Murynka, Katarzyna
    Kus, Marek
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 455
  • [50] The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
    Avan, J
    Babelon, O
    Billey, E
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 178 (02) : 281 - 299
12345