Physics – Mathematical Physics
Scientific paper
2001-02-13
Czech.J.Phys. 52 (2002) 1303-1311
Physics
Mathematical Physics
10 pages, latex, no fiqures
Scientific paper
10.1023/A:1021815526828
The Hamilton-Jacobi method of constrained systems is discussed. The equations of motion of 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 with out using any gauge fixing condition. As a result of the quantization, we obtain 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.
Muslih Sami I.
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