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三维各向同性谐振子波函数的递推关系(英文)
The recursion relations of radial wave functions for the isotropic harmonic oscillator
【摘要】 本文应用拉普拉斯变换得到了三维各向同性谐振子波函数边界的精确解,同时,利用同种方法还得到了利用产生算符和湮灭算符表达的该波函数的递推关系.
【Abstract】 In this paper,the exact bound state solutions of the three-dimensional radial Schrdinger equation with the isotropic harmonic oscillator are simply derived from Laplace transforms.And then some recursion relations of radial wave functions given in the form of raising and lowering operators are also obtained in the same method.
【关键词】 各向谐振子;
薛定谔方程;
边界状态;
递推关系;
拉普拉斯变换;
【Key words】 isotropic harmonic oscillator; Schrdinger equation; bound state; recursion relations; Laplace transforms;
【Key words】 isotropic harmonic oscillator; Schrdinger equation; bound state; recursion relations; Laplace transforms;
- 【文献出处】 原子与分子物理学报 ,Journal of Atomic and Molecular Physics , 编辑部邮箱 ,2007年06期
- 【分类号】O413.1
- 【下载频次】114