含时线性Klein-Gordon方程的解

含时线性Klein-Gordon方程的解

曲晓英，赵静

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

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 曲晓英

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

QU Xiao-ying , ZHAO Jing

Laboratory for Photoelectric Technology and Application, GuiZhou Univ., Guiyang 550025, Guizhou, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: QU Xiao-ying

摘要/Abstract

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.

关键词: K-G方程, 不变量方法, 含时K-G方程的解

Abstract: 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 Schrdinger 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.

Key words: the solution of the K-G equation-for the time-dependent potential , Lewis-Riesenfeld invariant method, K-G equation

中图分类号:

O431.1

曲晓英,赵静 . 含时线性Klein-Gordon方程的解[J]. J4, 2007, 42(7): 22-26 .

QU Xiao-ying ,ZHAO Jing . Solution of the Klein-Gordon equation for the time-dependent potential[J]. J4, 2007, 42(7): 22-26 .

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