On the canonical mapping of the rational Calogero-Moser system to free particle system and non-dynamical r-matrix Calogero-Moser model

被引：0
|
作者：
Gonera, C [1 ]
机构：
[1] Univ Lodz, Dept Theoret Phys 2, PL-90236 Lodz, Poland
来源：
PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79 | 2000年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The canonical equivalence of the rational Calogero-Moser system to free particles implying the existence of the Lax representation of C-M model with nondynamical r-matrix is presented.
引用
收藏
页码：291 / 295
页数：5
相关论文
共 50 条
  • [41] The Calogero-Moser equation system and the ensemble average in the Gaussian ensembles
    Stöckmann, HJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (01): : 137 - 146
  • [42] New Formulas for the Eigenfunctions of the Two-Particle Difference Calogero-Moser System
    Gaillard, Pierre
    Matveev, Vladimir
    LETTERS IN MATHEMATICAL PHYSICS, 2009, 89 (01) : 1 - 12
  • [43] Real symmetric φ4-matrix model as Calogero-Moser model
    Grosse, Harald
    Kanomata, Naoyuki
    Sako, Akifumi
    Wulkenhaar, Raimar
    LETTERS IN MATHEMATICAL PHYSICS, 2024, 114 (01)
  • [44] Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions
    Fordy, Allan P.
    Huang, Qing
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (22)
  • [45] Separation of variables for the A3 elliptic Calogero-Moser system
    Mangazeev, VV
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (19): : 4183 - 4195
  • [46] Real-Normalized Differentials and the Elliptic Calogero-Moser System
    Grushevsky, Samuel
    Krichever, Igor
    COMPLEX GEOMETRY AND DYNAMICS, 2015, : 123 - 137
  • [47] Calogero–Moser Model and R-Matrix Identities
    A. V. Zotov
    Theoretical and Mathematical Physics, 2018, 197 : 1755 - 1770
  • [48] An Accident Detection System on Highway through CCTV with Calogero-Moser System
    Lee, In Jung
    18TH ASIA-PACIFIC CONFERENCE ON COMMUNICATIONS (APCC 2012): GREEN AND SMART COMMUNICATIONS FOR IT INNOVATION, 2012, : 522 - 525
  • [49] Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system
    1600, (28):
  • [50] Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system
    Ibort, A.
    Marmo, G.
    Rodriguez, M. A.
    Tempesta, P.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (05) : 1513 - 1540
12345