| 两体组合坐标表象的建立、性质及应用 |
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| 引用本文： | 徐世民,蒋继建,李洪奇,徐兴磊.两体组合坐标表象的建立、性质及应用[J].物理学报,2008,57(12):7430-7437. |
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| 作者姓名： | 徐世民 蒋继建 李洪奇 徐兴磊 |
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| 作者单位： | 菏泽学院物理系,菏泽,274015 |
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| 基金项目： | 菏泽学院自然科学基金(批准号:XY07WL01)和山东省高等学校实验技术基金(批准号:S04W138)资助的课题. |
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| 摘 要： | 为了研究具有相互作用势和运动耦合的两个非全同的量子谐振子体系的动力学问题，利用有序算符乘积内的积分技术，建立了一种两粒子体系的组合坐标新表象|η1，η2〉，构造了一个双模压缩算符U并分析了其压缩特性. 应用组合坐标新表象严格求解了具有相互作用势和运动耦合的两个非全同的量子谐振子体系的动力学问题. 这为研究复杂耦合量子谐振子体系提供了一个有效途径.
关键词：
有序算符乘积内的积分技术
组合坐标表象
双模压缩算符
幺正矩阵
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| 关 键 词： | 有序算符乘积内的积分技术 组合坐标表象 双模压缩算符 幺正矩阵 |
| 收稿时间： | 3/2/2008 12:00:00 AM |
The characteristics of a new two mode composite coordinate representation and its application |
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| Xu Shi-Min,Jiang Ji-Jian,Li Hong-Qi,Xu Xing-Lei.The characteristics of a new two mode composite coordinate representation and its application[J].Acta Physica Sinica,2008,57(12):7430-7437. |
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| Authors: | Xu Shi-Min Jiang Ji-Jian Li Hong-Qi Xu Xing-Lei |
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| Abstract: | In order to solve dynamic problems of double non-identical quantum harmonic oscillators with interaction potential and movement coupling, the new two mode composite coordinate representation |η1，η2〉 is proposed by the technique of integration within an ordered product of operators. The two mode squeezing operator U is constructed, and its characteristics are analyzed. Moreover, its application to double non-identical quantum harmonic oscillators with interaction potential and movement coupling is presented for solving some the dynamic problems. Approach of solving some the dynamic problems involving complicated quantum harmonic oscillators is proposed. |
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| Keywords: | integration with an ordered product of operators technique composite coordinate representation double mode squeezing operator unitary matrix |
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