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arxiv: hep-th/0412050 · v4 · submitted 2004-12-06 · ✦ hep-th

Reparametrization invariance and Hamilton-Jacobi formalism

classification ✦ hep-th
keywords formalismhamilton-jacobireparametrizationsystemsconditionsconstraineddetailsequation
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Systems invariant under the reparametrization of time were treated as constrained systems within Hamilton-Jacobi formalism. After imposing the integrability conditions the time-dependent Schr\"odinger equation was obtained. Three examples are investigated in details.

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