无限深方势阱活动边界系统的几何相位

The Geometric Phase in a Moving Boundary Problem

在边界活动的无限深方势阱中运动的粒子，是一个非绝热的量子含时系统．通过适当变换后，它可转换为一个边界固定的问题．在一定条件下，对这一固定边界问题可采用绝热处理．本文利用变换法和绝热近似求得了系统的演化解，计算了相应于周期演化解的ＡＡ相位．

A particle which moves in an infinite square well with moving boundary is a nonadiabatic quantum timedependent system. With proper transformation, it can be turned into a problem with static boundary; under certain condition, the latter is an adiabatic system. By employing the transformation method and the adiabatic approximation, the evolving solution of the system is obtained, and the AA phase corresponding to the cyclic evolvingstate is calculated.