| 电偶极近似条件下电磁相互作用的Feynman路径积分描述 |
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| 引用本文： | 黄博文. 电偶极近似条件下电磁相互作用的Feynman路径积分描述[J]. 首都师范大学学报(自然科学版), 2003, 24(1): 24-27 |
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| 作者姓名： | 黄博文 |
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| 作者单位： | 首都师范大学物理系,北京,100037 |
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| 摘 要： | 本文讨论了电偶极近似条件下的电磁相互作用。采用相空间中的Feynman路径积分，利用正则变换，计算出变质量变频率谐振子与电磁场相互作用时的传播子以及常质量常频率谐振子与电磁场相互作用时的波函数。同时也表明了传播子的形式与规范选择有关。
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| 关 键 词： | 电偶极近似条件 电磁相互作用 Feynman路径积分 正则变换 电磁场 变质量变频率谐振子 量子力学 |
| 修稿时间： | 2002-03-05 |
The Feynman path Integral Formulation of the Interaction of Electromagnetic Radiation in the Electric Dipole Approximation |
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| Huang Bowen. The Feynman path Integral Formulation of the Interaction of Electromagnetic Radiation in the Electric Dipole Approximation[J]. Journal of Capital Normal University(Natural Science Edition), 2003, 24(1): 24-27 |
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| Authors: | Huang Bowen |
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| Abstract: | In this paper we discuss harmonic oscillator in an electromagnetic field in the electric dipole approximation.Using the Feynman phase space path integral we obtain the propagator of a harmonic oscillator with variable mass and variable frequency in an electromagnetic field by means of a specific canonical transformation.Furthermore,we obtain the wave function of a harmonic oscillator with constant mass and constant frequency in an electromagnetic field.By the way we point out that the form of the propagator depends on the selection of the gauge. |
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| Keywords: | feynman path integral canonical transformation electric dipole approximation. |
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