含时线性Klein-Gordon方程的解  

Solution of the Klein-Gordon equation for the time-dependent potential

作　　者：曲晓英[1] 赵静[1] 

机构地区：[1]贵州大学贵州省光电子技术与应用重点实验室,贵州贵阳550025

出　　处：《山东大学学报（理学版）》2007年第7期22-26,29,共6页Journal of Shandong University(Natural Science)

摘　　要：把K-G方程通过变量代换化简成对时间一阶求导的形式,即薛定谔方程的形式.然后运用不变量方法求解含时线性情况下K-G方程的解.并讨论2种相关的情况:相对论非含时和非相对论含时情况下解的形式.The K-G equation is changed by substituting the variable into the formal of the one differential to time at first, which is the formal of the Schrǒdinger equation. A simple treatment is given to the problem of finding the solution in a time-dependent potential. The treatment is based on the use of the Lewis-Riesenfeld invariant method. Finally, two relative cases are discussed, the solution of the K-G equation for the time-independent potential in relativistic systems and the solution of the K-G equation for the time-dependent potential in nonrelativistic systems.

关 键 词：K-G方程 不变量方法 含时K-G方程的解 

分 类 号：O431.1[机械工程—光学工程]