标题： 含时约束系统的规范量子化 显示英文标题

标题： Canonical quantization of systems with time-dependent constraints

摘要： 讨论了约束系统的 Hamilton-Jacobi 方法。 具有时间相关约束的奇异系统的运动方程被获得为多变量的全微分方程。 平面波中相对论粒子的可积性条件使我们能够在不使用任何规范固定条件的情况下得到正则相空间坐标。 作为量子化的一个结果，我们得到了平面波中粒子的 Klein-Gordon 理论。 利用正则路径积分公式方法，得到了该系统的路径积分量子化。 显示英文摘要

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.