Momentum map and action-angle variables for Nambu dynamics

被引:0
作者
Tegmen, A [1 ]
机构
[1] Ankara Univ, Fac Sci, Dept Phys, TR-06100 Ankara, Turkey
关键词
momentum map; Nambu mechanics; action-angle variables;
D O I
10.1023/B:CJOP.0000038528.44335.8b
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Momentum map is a reduction procedure that reduces the dimension of a Hamiltonian system to the lower ones. It is shown that behavior of the action-angle variables under the momentum map generates the new action-angle variables for the reduced system considered as a Nambu structure. The symmetrical top is given as an illustration.
引用
收藏
页码:749 / 757
页数:9
相关论文
共 9 条
[1]   REMARKS CONCERNING NAMBUS GENERALIZED MECHANICS [J].
BAYEN, F ;
FLATO, M .
PHYSICAL REVIEW D, 1975, 11 (10) :3049-3053
[2]   Dynamical symmetries and Nambu mechanics [J].
Chatterjee, R .
LETTERS IN MATHEMATICAL PHYSICS, 1996, 36 (02) :117-126
[3]   Classical and quantum Nambu mechanics [J].
Curtright, T ;
Zachos, C .
PHYSICAL REVIEW D, 2003, 68 (08)
[4]  
MUKUNDA N, 1976, PHYS REV D, V13, P2846, DOI 10.1103/PhysRevD.13.2846
[5]   GENERALIZED HAMILTONIAN DYNAMICS [J].
NAMBU, Y .
PHYSICAL REVIEW D, 1973, 7 (08) :2405-2412
[6]  
Ratiu T.S., 1994, INTRO MECH SYMMETRY
[7]   ON FOUNDATION OF THE GENERALIZED NAMBU MECHANICS [J].
TAKHTAJAN, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 160 (02) :295-315
[8]   Superintegrable systems, multi-Hamiltonian structures and Nambu mechanics in an arbitrary dimension [J].
Tegmen, A ;
Verçin, A .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (03) :393-409
[9]  
TEGMEN A, MATHPH0212070