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Hamilton-Jacobi quantization of the finite dimensional systems with constraints

1999/01/31 by Dumitru Baleanu, Yurdahan Guler
Physics and Astronomy · #hep-th

paper · pdf

published as Nuovo Cim. B114 (1999) 709-716 · 7 pages LaTeX, corrected typos

arxiv created 1999/08/15 · arxiv updated 2009/11/30

Abstract

The Hamiltonian treatment of constrained systems in Guler's formalism leads us to the total differential equations in many variables. These equations are integrable if the corresponding system of partial differential equations is a Jacobi system. The main aim of this paper is to investigate the quantization of the finite dimensional systems with constraints using the canonical formalism introduced by Guler. This approach is applied for two systems with constraints and the results are in agreement with those obtained by Dirac's canonical quatization method and path integral quantization method.

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