含时边界条件量子体系的Berry相因子

本文讨论了具有含时运动边界条件的无限深椭球型势阱中粒子的行为，研究表明，该量子体系等价于粒子与矢量场的相互作用，通过引入压缩变换，利用拓扑项的可移性，求出了量子体系在演化过程中的Ｂｅｒｒｙ相因子的精确表达式。

ERRY PHASE IN A QUANTUM SYSTEM WITH TIME DEPENDENT BOUNDARY CONDITIONS

e discuss the problem of the quantum particle behavior in an infinitely deep elliptical potential well with a moving boundary conditions. We show that this quantum system is equivalent to a particle interacting with a vector field. By introdocing the squeezing transformations and making use of the removability of the topological term,the exact Berry phase in a cyclic evolution is calculated.