含时受迫谐振子薛定谔方程的精确解  

Exact Solution of the Schrdinger Equation for a Driven Time-dependent Harmonic Oscillator

作　　者：李淑红[1] 郑忠喜[1] 高迎芳[1] 刘文森[1] 

机构地区：[1]山西大学物理系,山西太原030006

出　　处：《山西大学学报（自然科学版）》2003年第2期139-142,共4页Journal of Shanxi University(Natural Science Edition)

摘　　要：非齐次波戈留波夫变换与 SU( 1,1) h( 4)量子系统的演化方程相结合 ,给出了求该系统时间演化算符和波函数的精确表达式 .作为一个典型例子 ,我们得到含时受迫谐振子的演化算符和波函数的精确表达式 .结果与文献 [3 ]作一比较 ,两种方法得到的结果是一致的 .而我们的求解方法简单而明确 ,并且容易推广到求解其它 SU( 1,1) h( 4)In this paper,the exact expressions of the evolution operator and wave function are obtained by means of the combination of the inhomogeneous Bogoliubov transformation(IBT) and the evolution equation associated with a su(1,1)h(4).As a model example,we have got the exact expressions of the evolution operator and Schrdinger wave function of the driven time-dependent harmonic oscillator.These results agree well with those derived in general refrences,but the present method is more simple and definite.what's more,it is easily extended to other su(1,1)h(4) quantum system

关 键 词：量子力学 含时受迫谐振子 薛定谔方程 精确解 演化算符 波函数 

分 类 号：O413.1[理学—理论物理]