| n模耦合谐振子量子系统的精确波函数 |
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| 引用本文： | 成泰民,孙立红.n模耦合谐振子量子系统的精确波函数[J].大学物理,2011(9):10-14. |
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| 作者姓名： | 成泰民 孙立红 |
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| 作者单位： | 沈阳化工大学数理系; |
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| 基金项目： | 国家自然科学基金(10647138); 辽宁省教育厅科学研究项目(20060667)资助课题 |
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| 摘 要： | 利用不变本征算符法研究了n模耦合谐振子量子系统的简正频率及其对应的简正坐标与共轭动量,并对系统的哈密顿量进行了退耦合,得到了系统的明显的简正频率解析解.推导出坐标表象中系统的精确波函数的解析解.并对不同情形的耦合系数进行了讨论,认识到n模动量耦合谐振子体系和n模坐标耦合谐振子体系是本文所研究的体系的特例.
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| 关 键 词： | 不变本征算符法 简正频率 n模耦合谐振子量子系统 精确波函数的解析解 |
Exact wave function of the n-module coupled harmonic oscillators quantum system |
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| CHENG Tai-min,SUN Li-hong.Exact wave function of the n-module coupled harmonic oscillators quantum system[J].College Physics,2011(9):10-14. |
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| Authors: | CHENG Tai-min SUN Li-hong |
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| Affiliation: | CHENG Tai-min,SUN Li-hong(Department of Mathematics and Physics,Shenyang University of Chemical Technology,Shenyang,Liaoning 110142,China) |
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| Abstract: | The normal frequencies and its corresponding normal coordinates and conjugate momentums of the n-module coupled harmonic oscillators quantum system are derived by using the invariant eigen-operator method.The Hamiltonian of the system is decoupled and then the visible analytic solution of normal frequencies in the system is obtained.The analytic solution of wave function of the system in the coordinate representation is deduced.Through the discussion of the coupling coefficients of different situations,we h... |
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| Keywords: | invariant eigen-operator method normal frequencies n-module coupled harmonic oscillators quantum system analysis solutions of exact wave function |
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