Duality between integrable Stackel systems

被引：30
|
作者：
Tsiganov, AV [1 ]
机构：
[1] St Petersburg State Univ, Inst Phys, Dept Math & Computat Phys, St Petersburg 198904, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 45期
关键词：
D O I：
10.1088/0305-4470/32/45/311
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Canonical transformations of the extended phase space are applied to the integrable Stackel systems. All these transformations may be associated with an ambiguity of the Abel map on the corresponding hyperelliptic curve. For some Stackel systems with two degrees of freedom the 2 x 2 Lax representations and the dynamical r-matrix algebras are constructed.
引用
收藏
页码：7965 / 7982
页数：18
相关论文
共 50 条
  • [41] Generalised T-duality and Integrable Deformations
    Thompson, Daniel C.
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2016, 64 (4-5): : 349 - 353
  • [42] Integrable deformations of affine Toda theories and duality
    Fateev, VA
    NUCLEAR PHYSICS B, 1996, 479 (03) : 594 - 618
  • [43] On gauge fields - string duality as an integrable system
    Zyskin, M
    PHYSICS LETTERS A, 2000, 275 (04) : 260 - 273
  • [44] DUALITY THEOREM FOR INTEGRABLE REPRESENTATIONS AND LANGLAND CONJECTURES
    SZMIDT, J
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (12): : 1215 - 1219
  • [45] DUALITY BETWEEN REACHABILITY AND OBSERVABILITY FOR ADJOINT SYSTEMS
    NOLTE, CG
    NAUDE, G
    MATHEMATICAL SYSTEMS THEORY, 1983, 16 (03): : 251 - 266
  • [46] Duality between predictability and reconstructability in complex systems
    Murphy, Charles
    Thibeault, Vincent
    Allard, Antoine
    Desrosiers, Patrick
    NATURE COMMUNICATIONS, 2024, 15 (01)
  • [47] Duality between multidimensional convolutional codes and systems
    Gluesing-Luerssen, H
    Rosenthal, J
    Weiner, PA
    ADVANCES IN MATHEMATICAL SYSTEMS THEORY: A VOLUME IN HONOR OF DIEDERICH HINRICHSEN, 2001, : 135 - 150
  • [48] METAMORPHOSIS AND DUALITY BETWEEN QUANTUM-SYSTEMS
    CABRAL, F
    GALLAS, JAC
    PHYSICAL REVIEW LETTERS, 1987, 58 (25) : 2611 - 2614
  • [49] On double-elliptic integrable systems 1. A duality argument for the case of SU(2)
    Braden, HW
    Marshakov, A
    Mironov, A
    Morozov, A
    NUCLEAR PHYSICS B, 2000, 573 (1-2) : 553 - 572
  • [50] THE DUALITY BETWEEN 2-DIMENSIONAL INTEGRABLE FIELD-THEORIES AND SIGMA-MODELS
    FATEEV, VA
    PHYSICS LETTERS B, 1995, 357 (03) : 397 - 403
12345