Canonical quantization of systems with time-dependent constraints
数学物理
2009-11-07 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0102014,
title = {Canonical quantization of systems with time-dependent constraints},
author = {Sami I. Muslih},
journal= {arXiv preprint arXiv:math-ph/0102014},
year = {2009}
}
备注
10 pages, latex, no fiqures