| Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions |
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| 作者姓名： | 马余全 张晋 陈永康 戴宏 |
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| 作者单位： | Department of Physics, Yunnan University, Kunming 650091,China;Department of Physics, Yunnan University, Kunming 650091,China;Department of Physics, Yunnan University, Kunming 650091,China;Department of Physics, Yunnan University, Kunming 650091,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 60261004) and Yunnan Province Science Foundation (Grant No 2002E0008M). |
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| 摘 要： | We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time- dependent forced harmonic oscillator in D（D ≥ 1） dimensions. The coherent states, defined as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated.
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| 关 键 词： | 谐波振荡器 连贯状态 积分路径 波函数 零化算子 |
| 收稿时间： | 2005-05-24 |
| 修稿时间： | 2005-05-242005-07-11 |
Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions |
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| Ma Yu-Quan,Zhang Jin,Chen Yong-Kang and Dai Hong.Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions[J].Chinese Physics B,2005,14(11):2170-2175. |
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| Authors: | Ma Yu-Quan Zhang Jin Chen Yong-Kang and Dai Hong |
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| Institution: | Department of Physics, Yunnan University, Kunming 650091,China |
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| Abstract: | We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time-dependent forced harmonic oscillator in D(D \ge 1) dimensions. The coherent states, defined
as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated. |
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| Keywords: | D-dimensional harmonic oscillator coherent state path integral propagator |
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