期刊
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
卷 3, 期 3, 页码 471-487出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887806001193
关键词
constrained Lagrangian systems; constrained Hamiltonian systems; Noether's theorem; gauge symmetries
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.
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