一维谐振子态演化的近似研究  

Research on Evolution of One-dimensional Oscillator by Approximation Method

作　　者：任恒峰[1] 王清亮[1] 侯胜侠[2] 连润明[1] 郝秀利[1] 

机构地区：[1]忻州师范学院物理电子系,山西忻州034000 [2]河北理工大学轻工学院,河北唐山063000

出　　处：《长春师范学院学报（自然科学版）》2013年第1期13-15,共3页Journal of Changchun Teachers College

基　　金：山西省青年科技研究基金(2010021003-5);忻州师院院级基金资助课题

摘　　要：本文以一维谐振子为研究对象,讨论了一维谐振子初态随时间的演化问题,采用了常用的精确求解法并发展了近似求解法。最后对两种方法所得结果进行分析比较,得到其结果一致的结论,从而为确定的哈密顿量系统的态演化问题提供了一套理论处理方案。This paper took the one-dimensional harmonic oscillator as the object of study, discussed the evolution of the initial state of one-dimensional oscillator with time, adopted the common precise solution and developed the approximate solution. At last, this paper compared the results of the two methods and came to the conclusion that the results were consistent, which provided a new scheme for dealing with the evolution problem of deterministic Hamiltonian system.

关 键 词：一维谐振子 演化算符 泰勒展开 

分 类 号：O431.2[机械工程—光学工程]