| 相对论哈密顿-雅可比方程及其应用 |
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| 引用本文： | 赵诗华,朱琴.相对论哈密顿-雅可比方程及其应用[J].大学物理,2012,31(3):20-23. |
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| 作者姓名： | 赵诗华 朱琴 |
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| 作者单位： | 1. 中国矿业大学(北京)理学院,北京,100083
2. 北京市昌平第二中学,北京,102208 |
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| 基金项目： | 本工作受中央高校基本科研项目 |
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| 摘 要： | 利用相对论哈密顿-雅可比方法求出了电子在激光场中的相对论性运动方程的解析解.并且在电子与激光脉冲散射的实验室参照系、电子初始静止参照系、电子平均静止系中,对于给定的任意椭圆偏振的激光场,得到了解析表达式.
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| 关 键 词： | 矢势 哈密顿-雅可比方程 边条件 运动方程 |
The relativistic Hamilton-Jacobi equation and its application |
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| ZHAO Shi-hua
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ZHU Qin.The relativistic Hamilton-Jacobi equation and its application[J].College Physics,2012,31(3):20-23. |
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| Authors: | ZHAO Shi-hua ZHU Qin |
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| Institution: | 1.School of Science,China University of Mining & Technology(Beijing),Beijing 100083,China; 2.The Second Middle School of Beijing Changping,Beijing 102208,China) |
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| Abstract: | The relativistic equation of motion for the electron in the laser field is solved analytically by use of the Hamilton-Jacobi method.For a given arbitrary elliptically polarized laser field,we obtain the exact analytical expressions in the case of the laboratory frame where the laser and the electron meet collinearly,the frame where the electron is initially at rest and the frame where the electron is on the average at rest,respectively. |
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| Keywords: | vector potential Hamilton-Jacobi equation boundary condition equation of motion |
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