具有含时频率和边界条件的谐振子量子态的Berry相位  

THE BERRY PHASE OF THE QUANTUM STATE OF A HARMONIC OSCILLATOR WITH TIME DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS

作　　者：刘登云[1] 

机构地区：[1]山西师范大学物理系

出　　处：《物理学报》1998年第8期1233-1240,共8页Acta Physica Sinica

基　　金：山西省留学回国人员基金

摘　　要：对具有一运动边界的一维无限深势阱内频率随时间变化的谐振子的含时Ｓｃｈｒｄｉｎｇｅｒ方程连续进行两次规范变换，可以得到精确解和Ｌｅｗｉｓ不变量算符．基于该精确解利用几何距离和曲线的几何长度概念计算了体系量子态的Ｂｅｒｙ相位．Abstract The problem of a harmonic oscillator of time dependent frequency confined in a one dimensional infinite square well with a moving wall is studied.It is shown that the exact solution and the Lewis invariant operator of the system can be obtained by performing two consecutive gauge transformations on the time dependent Schrdinger equation.On the basis of the exact solution the Berry phases for the system are calculated by using the geometric concepts such as the geometric distance and geometric length of the curve.

关 键 词：谐振子 量子态 BERRY相位 含时 薛定谔方程 

分 类 号：O413.1[理学—理论物理]