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共振辐射的理论研究——Holstein方程的解
引用本文:赖热,刘世林,马兴孝. 共振辐射的理论研究——Holstein方程的解[J]. 物理学报, 1993, 42(8): 1216-1222
作者姓名:赖热  刘世林  马兴孝
作者单位:中国科学技术大学近代化学系,合肥230026
摘    要:解决介质中共振辐射的关键问题是求解Holstein方程。本文直接利用算符运算将方程积分,给出了激发态粒子集居数的含无限项的级数表达式。基于对这个级数高阶系数的极限行为的研究,成功地克服了无穷项求和的困难,整理出一个在任意给定精度下都只含有限项的解式,由它可以计算出任何时刻的结果。关键词

关 键 词:共振辐射 Holstein方程 辐射束缚
收稿时间:1992-10-05

THEORETICAL TREATMENT OF RESONANCE RADIATION IMPRISONMENT SOLUTION TO HOLSTEIN''S EQUATION
LAI RE,LIU SHI-LIN and MA XING-XIAO. THEORETICAL TREATMENT OF RESONANCE RADIATION IMPRISONMENT SOLUTION TO HOLSTEIN''S EQUATION[J]. Acta Physica Sinica, 1993, 42(8): 1216-1222
Authors:LAI RE  LIU SHI-LIN  MA XING-XIAO
Abstract:The key to the treatment of the resonance radiation imprisonment lies in the solution to Holstein's equation. A new method to solve Holstein's equation is proposed in this paper, which integrates the equation directly by means of operator calculation and results in a formula for the excited particles in an infinite series in an integral operator. Our study on the behavior of the high-ordercoefficients of this series leads to the success in overcoming the difficulty to obtain the sum of infinite terms, and a formula of finite terms under any given precision is acquired, which applies to the whole time scale.
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