| 具有含时频率和边界条件的谐振子量子态的Berry相位 |
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| 引用本文： | 刘登云. 具有含时频率和边界条件的谐振子量子态的Berry相位[J]. 物理学报, 1998, 47(8): 1233-1240 |
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| 作者姓名： | 刘登云 |
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| 作者单位： | 山西师范大学物理系，临汾 041004 |
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| 基金项目： | 山西省留学回国人员基金 |
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| 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Berry相位.关键词：
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| 关 键 词： | 谐振子 量子态 Berry相位 含时 薛定谔方程 |
| 收稿时间： | 1997-12-15 |
| 修稿时间： | 1998-02-05 |
THE BERRY PHASE OF THE QUANTUM STATE OF A HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS |
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| LIU DENG-YUN. THE BERRY PHASE OF THE QUANTUM STATE OF A HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS[J]. Acta Physica Sinica, 1998, 47(8): 1233-1240 |
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| Authors: | LIU DENG-YUN |
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| 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. |
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