共振辐射的理论研究 Holstein方程的解  

THEORETICAL TREATMENT OF RESONANCE RADIATION IMPRISONMENT SOLUTION TO HOLSTEIN'S EQUATION

作　　者：赖热[1] 刘世林[1] 马兴孝[1] 

机构地区：[1]中国科学技术大学近代化学系,合肥230026

出　　处：《物理学报》1993年第8期1216-1222,共7页Acta Physica Sinica

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。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.

关 键 词：共振辐射 Holstein方程 辐射束缚 

分 类 号：O481[理学—固体物理]