A GEOMETRICAL VERSION OF THE HELMHOLTZ CONDITIONS IN TIME-DEPENDENT LAGRANGIAN DYNAMICS

被引:70
作者
CRAMPIN, M
PRINCE, GE
THOMPSON, G
机构
[1] DUBLIN INST ADV STUDIES,SCH THEORET PHYS,DUBLIN,IRELAND
[2] UNIV N CAROLINA,DEPT MATH,CHAPEL HILL,NC 27514
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1984年 / 17卷 / 07期
关键词
D O I
10.1088/0305-4470/17/7/011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:1437 / 1447
页数:11
相关论文
共 9 条
[1]   CONSTANTS OF MOTION IN LAGRANGIAN MECHANICS [J].
CRAMPIN, M .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1977, 16 (10) :741-754
[2]   TANGENT BUNDLE GEOMETRY FOR LAGRANGIAN DYNAMICS [J].
CRAMPIN, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16) :3755-3772
[3]   ON THE DIFFERENTIAL GEOMETRY OF THE EULER-LAGRANGE EQUATIONS, AND THE INVERSE PROBLEM OF LAGRANGIAN DYNAMICS [J].
CRAMPIN, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (10) :2567-2575
[4]   Solution of the inverse problem of the calculus of variations [J].
Douglas, Jesse .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1941, 50 (1-3) :71-128
[5]   ON THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS [J].
HENNEAUX, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (03) :L93-L96
[7]  
PRINCE GE, 1983, PROJECTIVE DIFFERENT
[8]   THE HELMHOLTZ CONDITIONS REVISITED - A NEW APPROACH TO THE INVERSE PROBLEM OF LAGRANGIAN DYNAMICS [J].
SARLET, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (05) :1503-1517
[9]   ON GEOMETRIC STRUCTURE OF CLASSICAL FIELD THEORY IN LAGRANGIAN FORMULATION [J].
SNIATYCKI, J .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 68 :475-+