| Hooke＇s Atom in an Arbitrary External Electric Field： Analytical Solutions of Two-Electron Problem by Path Integral Approach |
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| 引用本文： | 蔡亮,张萍,杨涛,潘孝胤. Hooke＇s Atom in an Arbitrary External Electric Field： Analytical Solutions of Two-Electron Problem by Path Integral Approach[J]. 理论物理通讯, 2011, 55(4): 565-568 |
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| 作者姓名： | 蔡亮 张萍 杨涛 潘孝胤 |
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| 作者单位： | Department of Physics, Ningbo University, Ningbo 315211, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 10805029, ZheJiang NSF under Grant No. R6090717 and the K.C. Wong Magna Foundation of Ningbo University |
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| 摘 要： |
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| 关 键 词： | 双电子 解析解 原子 路径 电场 胡克 积分法 库仑相互作用 |
| 收稿时间： | 2010-06-30 |
Hooke's Atom in an Arbitrary External Electric Field: Analytical Solutions of Two-Electron Problem by Path Integral Approach |
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| CAI Liang,ZHANG Ping,YANG Tao,PAN Xiao-Yin. Hooke's Atom in an Arbitrary External Electric Field: Analytical Solutions of Two-Electron Problem by Path Integral Approach[J]. Communications in Theoretical Physics, 2011, 55(4): 565-568 |
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| Authors: | CAI Liang ZHANG Ping YANG Tao PAN Xiao-Yin |
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| Affiliation: | Department of Physics, Ningbo University, Ningbo 315211, China |
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| Abstract: | By using the path integral approach, we investigate the problem of Hooke's atom (two electrons interacting with Coulomb potential in an external harmonic-oscillator potential) in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analyticalsolutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory. |
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| Keywords: | Hooke＇s atom path integral propagator polarization |
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