量子力学中Hamilton-Jacobi方程的完全解
The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics
摘要：
一个普通的量子系统的有限传播子的明确的积分表示，发现通过启动一个特权的功能作用在相空间中，提供了完整的解决方案的Hamilton-Jacobi方程。这种表示允许将传播子视为来自路径的贡献之和，其中由哈密顿-雅可比方程的完全解产生的动量是守恒的-因为它确实发生在经典轨迹上-但不限于具有与原始坐标的边界条件相关联的经典值。
英文摘要：
An ordinary unambiguous integral representation for the finite propagator of a quantum system is found by starting of a privileged skeletonization of the functional action in phase space, provided by the complete solution of the Hamilton-Jacobi equation. This representation allows to regard the propagator as the sum of the contributions coming from paths where the momenta generated by the complete solution of the Hamilton-Jacobi equation are conserved -as it does happen on the classical trajectory-, but are not restricted to having the classical values associated with the boundary conditions for the original coordinates.
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