| 用算符分解方法计算非同调谐振子几何相位及其推广 |
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| 引用本文： | 安南,杨新娥.用算符分解方法计算非同调谐振子几何相位及其推广[J].中国物理 C,2005,29(4):350-353. |
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| 作者姓名： | 安南 杨新娥 |
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| 作者单位： | 天津大学理学院物理系 天津300072
(安南)，天津大学理学院物理系 天津300072(杨新娥) |
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| 基金项目： | 南开大学天津大学刘微应用数学中心资助 |
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| 摘 要： | 将几何相位理论应用于非同调谐振子(isotonic oscillator缩写为IO)这类量子系统,运用算符分解方法计算了系统在二态体系的Aharonov-Anandan相位,推广至三态及多态体系,并讨论了AA相位更普遍的计算公式和变化规律.
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| 关 键 词： | Aharnonov-Anandan相位 非绝热演化 非谐振子 |
| 收稿时间： | 2004-7-12 |
| 修稿时间： | 2004-8-7 |
Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition |
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| AN Nan YANG Xin-E.Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition[J].High Energy Physics and Nuclear Physics,2005,29(4):350-353. |
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| Authors: | AN Nan YANG Xin-E |
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| Institution: | AN Nan~1) YANG Xin-E |
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| Abstract: | Operator decomposition approach is used to calculate the non-adiabatic geometric phase of anharmonic oscillator. As an example we focus on the isotonic oscillator, a type of anharmonic oscillator. The Aharonov-Anandan phase is derived when we choose the ground state and the first excited state as cyclic initial states. Then we generalize our result by choosing three states or more states as cyclic initial states. Finally, we give a general formula of Aharonov-Anandan phase for time-independent systems and discuss its applicability. |
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| Keywords: | Aharonov-Anandan phase non-adiabatic evolution anharmonic oscillator |
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