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Canonical Quantization of Systems with Time-Dependent Constraints

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Czechoslovak Journal of Physics Aims and scope

Abstract

The Hamilton-Jacobi method of constrained systems is discussed. The equations of motion for a singular system with time dependent constraints are obtained as total differential equations in many variables. The integrability conditions for the relativistic particle in a plane wave lead us to obtain the canonical phase space coordinates without using any gauge fixing condition. As a result of the quantization, we get the Klein-Gordon theory for a particle in a plane wave. The path integral quantization for this system is obtained using the canonical path integral formulation method.

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Authors and Affiliations

  1. Department of Physics, Al-Azhar University, Gaza, Palestine

    S.I. Muslih

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  1. S.I. Muslih
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Muslih, S. Canonical Quantization of Systems with Time-Dependent Constraints. Czechoslovak Journal of Physics 52, 1303–1311 (2002). https://doi.org/10.1023/A:1021815526828

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