| Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System |
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| 引用本文： | PANG Qian-Jun. Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System[J]. 理论物理通讯, 2005, 44(3): 440-444 |
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| 作者姓名： | PANG Qian-Jun |
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| 作者单位： | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
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| 摘 要： | ![]()
We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation ｜q,μ,υ〉, which is defined as the eigenvector of the operator （μQ ＋ υP）, whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.
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| 关 键 词： | 协同要素 媒介表示法 转换算法 特征向量 Hamiltonian函数 |
| 收稿时间： | 2004-12-20 |
| 修稿时间： | 2004-12-202005-03-14 |
Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System |
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| PANG;Qian-Jun. Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System[J]. Communications in Theoretical Physics, 2005, 44(3): 440-444 |
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| Authors: | PANG Qian-Jun |
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| Abstract: | ![]()
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| Keywords: | coordinator-momentum intermediate representation coupled oscillator operator transformation method |
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