| 含时二维双耦合各向异性谐振子的严格波函数 |
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| 引用本文： | 凌瑞良,冯金福,胡云.含时二维双耦合各向异性谐振子的严格波函数[J].物理学报,2010,59(2):759-764. |
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| 作者姓名： | 凌瑞良 冯金福 胡云 |
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| 作者单位： | 常熟理工学院物理与电子工程系，常熟 215500 |
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| 基金项目： | 江苏省自然科学基金（批准号：06KJB140001）资助的课题. |
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| 摘 要： | 坐标与动量通过一个特殊的转动变换,成功完成哈密顿量的退耦合,进而采用尝试函数求得了质量和频率均不相等且均含时的双耦合二维谐振子的严格波函数.波函数的正确性在其普遍性讨论中得到印证.
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| 关 键 词： | 各向异性谐振子 转动变换 退耦合 尝试函数 |
| 收稿时间： | 2009-04-29 |
| 修稿时间： | 6/2/2009 12:00:00 AM |
Exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency |
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| Ling Rui-Liang,Feng Jin-Fu,Hu Yun.Exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency[J].Acta Physica Sinica,2010,59(2):759-764. |
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| Authors: | Ling Rui-Liang Feng Jin-Fu Hu Yun |
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| Abstract: | Using a special rotational transformation of coordinates and momentum,we solve successfully the diagonalization of Hamiltonian. Furthermore,we obtain the exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency by means of trial function methed. The wave function is also verified. |
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| Keywords: | anisotropic harmonic oscillator rotational transformation decoupling trial function |
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