Canonical Noether symmetries and commutativity properties for gauge systems

Physics – Mathematical Physics

Scientific paper

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22 pages; some references updated, an uncited reference deleted, minor style changes

Scientific paper

10.1063/1.1289825

For a dynamical system defined by a singular Lagrangian, canonical Noether
symmetries are characterized in terms of their commutation relations with the
evolution operators of Lagrangian and Hamiltonian formalisms. Separate
characterizations are given in phase space, in velocity space, and through an
evolution operator that links both spaces.

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