On second Noether's theorem and gauge symmetries in mechanics

被引：4
|
作者：
Carinena, Jose F.
Lazaro-Cami, Joan-Andreu
Martinez, Eduardo
机构：
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2006年 / 3卷 / 03期
关键词：
constrained Lagrangian systems; constrained Hamiltonian systems; Noether's theorem; gauge symmetries;
D O I：
10.1142/S0219887806001193
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We review the geometric formulation of the second Noether's theorem in time-dependent mechanics. The commutation relations between the dynamics on the final constraint manifold and the infinitesimal generator of a symmetry are studied. We show an algorithm for determining a gauge symmetry which is closely related to the process of stabilization of constraints, both in Lagrangian and Hamiltonian formalisms. The connections between both formalisms are established by means of the time-evolution operator.
引用
收藏
页码：471 / 487
页数：17
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