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.
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
关键词
一维谐振子
演化算符
泰勒展开
one--dimensional harmonic oscillator
, evolution operator
Taylor expansion
