A GEOMETRIC APPROACH TO NOETHER 2ND THEOREM IN TIME-DEPENDENT LAGRANGIAN MECHANICS

被引：23

作者：

CARINENA, JF ^{[1
]}

FERNANDEZNUNEZ, J ^{[1
]}

MARTINEZ, E ^{[1
]}

机构：

[1] UNIV OVIEDO, DEPT FIS, E-33007 OVIEDO, SPAIN

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1991年 / 23卷 / 01期

关键词：

D O I：

10.1007/BF01811294

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse Noether's Second Theorem from a geometric viewpoint using the concepts of vector fields and forms along tangent bundle projections.

引用

页码：51 / 63

页数：13

共 50 条

[1] EXTENSION OF THE 2ND NOETHER THEOREM
LUSANNA, L
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1979, 52 (02): : 141 - 150
[2] ON NOETHER THEOREM FOR TIME-DEPENDENT OSCILLATORS - COMMENT
MOREIRA, IC
[J]. EUROPHYSICS LETTERS, 1990, 12 (05): : 391 - 393
[3] NOETHER THEOREM AND TIME-DEPENDENT QUANTUM INVARIANTS
CASTANOS, O
LOPEZPENA, R
MANKO, VI
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (05): : 1751 - 1770
[4] NOETHER SYMMETRIES AND INTEGRABILITY IN TIME-DEPENDENT HAMILTONIAN MECHANICS
Jovanovic, Bozidar
[J]. THEORETICAL AND APPLIED MECHANICS, 2016, 43 (02) : 255 - 273
[5] NOETHER THEOREM AND EXACT INVARIANTS FOR TIME-DEPENDENT SYSTEMS
RAY, JR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (06): : 1969 - 1975
[6] NOETHER THEOREM AND TIME-DEPENDENT HARMONIC-OSCILLATOR
LUTZKY, M
[J]. PHYSICS LETTERS A, 1978, 68 (01) : 3 - 4
[7] TIME-DEPENDENT LAGRANGIAN SYSTEMS - A GEOMETRIC APPROACH USING SEMIBASIC FORMS
RANADA, MF
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15): : 3475 - 3482
[8] TIME-DEPENDENT LAGRANGIAN SYSTEMS - A GEOMETRIC APPROACH TO THE THEORY OF SYSTEMS WITH CONSTRAINTS
RANADA, MF
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (02) : 748 - 758
[9] NOETHER THEOREM IN HIGHER-ORDER LAGRANGIAN MECHANICS
MIRON, R
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (07) : 1123 - 1146
[10] On Noether's theorem for the invariant of the time-dependent harmonic oscillator
Abe, Sumiyoshi
Itto, Yuichi
Matsunaga, Mamoru
[J]. EUROPEAN JOURNAL OF PHYSICS, 2009, 30 (06) : 1337 - 1343

← 1 2 3 4 5 →