SYMMETRIES AND CONSTANTS OF MOTION FOR CONSTRAINED LAGRANGIAN SYSTEMS - A PRESYMPLECTIC VERSION OF THE NOETHER THEOREM

被引:16
作者
FERRARIO, C
PASSERINI, A
机构
[1] Dipartimento di Fisica, Ferrara Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 21期
关键词
D O I
10.1088/0305-4470/23/21/040
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The concept of dynamical symmetry for constrained Lagrangian systems is analysed and generalized. Both the direct and converse Noether theorems are proved for singular Lagrangians.
引用
收藏
页码:5061 / 5081
页数:21
相关论文
共 21 条
[1]  
BATTLE C, 1989, J MATH PHYS, V30, P1345
[2]  
Battle C., 1987, J PHYS A, V20, P5113
[3]  
BATTLE C, 1986, J MATH PHYS, V27, P2953
[4]   THE HAMILTONIAN-STRUCTURE OF YANG-MILLS THEORIES AND INSTANTONS .1. [J].
BERGVELT, MJ ;
DEKERF, EA .
PHYSICA A, 1986, 139 (01) :101-124
[5]   NOETHERS THEOREM FOR SINGULAR LAGRANGIANS [J].
CARINENA, JF ;
RANADA, MF .
LETTERS IN MATHEMATICAL PHYSICS, 1988, 15 (04) :305-311
[6]   A NEW APPROACH TO THE CONVERSE OF NOETHERS THEOREM [J].
CARINENA, JF ;
LOPEZ, C ;
MARTINEZ, E .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (22) :4777-4786
[7]   TANGENT BUNDLE GEOMETRY FOR LAGRANGIAN DYNAMICS [J].
CRAMPIN, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16) :3755-3772
[8]  
Dirac P. A. M., 1964, LECT QUANTUM MECH
[9]   LAGRANGIAN CONSTRAINTS AND GAUGE SYMMETRIES [J].
FERRARIO, C ;
PASSERINI, A .
LETTERS IN MATHEMATICAL PHYSICS, 1988, 16 (03) :207-215
[10]  
FERRARIO C, 1990, DYNAMICAL SYMMETRIES