Hamilton-Jacobi quantization of the finite dimensional systems with constraints

Details Hamilton-Jacobi quantization of the finite dimensional systems with constraints Hamilton-Jacobi quantization of the finite dimensional systems with constraints

1999-01-19

arxiv.org/abs/hep-th/9901083v2

Nuovo Cim. B114 (1999) 709-716

Physics

High Energy Physics

High Energy Physics - Theory

7 pages LaTeX, corrected typos

Scientific paper

The Hamiltonian treatment of constrained systems in $G\ddot{u}ler's$ 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 $G\ddot{u}ler$. 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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