三维各向同性谐振子波函数的递推关系
삼유각향동성해진자파함수적체추관계
The recursion relations of radial wave functions for the isotropic harmonic oscillator
  • 万方数据
    原子与分子物理学报 원자여분자물이학보
    CHINESE JOURNAL OF ATOMIC AND MOLECULAR PHYSICS
    2007年 6期 1263-1266 ,共4页

    俞立先%陈子栋

    유립선%진자동

    各向谐振子%薛定谔方程%边界状态%递推关系%拉普拉斯变换 各嚮諧振子%薛定諤方程%邊界狀態%遞推關繫%拉普拉斯變換
    각향해진자%설정악방정%변계상태%체추관계%랍보랍사변환
    isotropic harmonic oscillator%Schr(o)dinger equation%bound state%recursion relations%Laplace transforms
    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.
    본문응용랍보랍사변환득도료삼유각향동성해진자파함수변계적정학해,동시,이용동충방법환득도료이용산생산부화인멸산부표체적해파함수적체추관계.
    In this paper, the exact bound state solutions of the three-dimensional radial Schr(o)dinger 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.
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