| 处理原子-辐射场相互作用系统的变分方法 |
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| 引用本文： | 韩蕊萍,朱小芹,边秋平. 处理原子-辐射场相互作用系统的变分方法[J]. 光子学报, 2002, 31(2): 141-145 |
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| 作者姓名： | 韩蕊萍 朱小芹 边秋平 |
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| 作者单位： | 1. 吴江师范学校理化组,吴江,215200
2. 淮阴师范学院物理系,淮阴,223001 |
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| 摘 要： | 用Heisenberg-Weyl(简H-W)群直积SU(2)群上的相干态表述了原子-辐射场相互作用系统的非平衡态统计力学.引入一个新定义的含时分布函数,将非平衡态下密度矩阵所满足的von Neumann方程转化成可分离变量的偏微分方程,给出了方程的形式解,算符的平均值表示.本文还就便于作微扰展开的相互作用绘景作了讨论.
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| 关 键 词： | von Neumann方程 相干态 偏微分方程 |
| 收稿时间： | 2001-06-11 |
| 修稿时间： | 2001-06-11 |
THE VARIATIONAL METHOD OF DEALING WITH THE INTERACTION SYSTEMS OF ATOM AND RADIATION FIELD |
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| Han Ruiping ,Zhu Xiaoqin ,Bian Qiuping Wu Jiang Normal School,Wujiang Dept of Phys,Huaiyin Normal Collage,Huaiyin. THE VARIATIONAL METHOD OF DEALING WITH THE INTERACTION SYSTEMS OF ATOM AND RADIATION FIELD[J]. Acta Photonica Sinica, 2002, 31(2): 141-145 |
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| Authors: | Han Ruiping Zhu Xiaoqin Bian Qiuping Wu Jiang Normal School Wujiang Dept of Phys Huaiyin Normal Collage Huaiyin |
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| Affiliation: | Han Ruiping 1,Zhu Xiaoqin 2,Bian Qiuping 2 1 Wu Jiang Normal School,Wujiang 215200 2 Dept of Phys,Huaiyin Normal Collage,Huaiyin 223001 |
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| Abstract: | Nonequilibrium satistical mechanics of the interaction systems of atom-field is formulated by using the representation of coherent state direct product,After introducing a newly defined time-dependent distribution of the interaction systems,the von Neumann equation for the nonequilibrium density matrix is converted into partial differential equation of the type of separating variables.Formal solutions of this differential equation is presented.Any operator which is composed of a+,a,ŝ and its average formula are written down in the present representation.The interaction picture,which is useful for the perturbation expansion,is also discussed. |
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| Keywords: | von Neumann equation Coherent state Partial differential equation |
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