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  • 张文英.用因式分解法求解高维空间各向同性谐振子[J].广西科学,1997,4(3):174-178.    [点击复制]
  • Zhang Wenying.Solution of the Hyperradial Schrödinger Equation of the Isotropic ν-Dimensional Harmonic Oscillator by Factorization Method[J].Guangxi Sciences,1997,4(3):174-178.   [点击复制]
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用因式分解法求解高维空间各向同性谐振子
张文英
0
(广西大学物理系, 南宁市西乡塘东路10号 530004)
摘要:
用因式分解法找到高维空间各向同性谐振子的超径向阶梯算符,计算能量本征值和超径向本征函数,并给出归一化系数的一般公式。
关键词:  ν维各向同性谐振子  超径向薛定谔方程  超径向阶梯算符
DOI:
投稿时间:1996-12-19修订日期:1997-02-03
基金项目:
Solution of the Hyperradial Schrödinger Equation of the Isotropic ν-Dimensional Harmonic Oscillator by Factorization Method
Zhang Wenying
(Physics Department of Guangxi University, 10 East Xixiangtanglu, Nanning, Guangxi, 530004)
Abstract:
Hyperradial ladder operators of the isotropic ν-dimensional harmonic oscillator are found by factoring the hyperradial Schrödinger equation of the system. Eigenvalues of the energy and hyperradial eigenfunctions are calculated with the ladder operators. The general formulas of the normalizing factors are given as well.
Key words:  isotropic ν-dimensional harmonic oscillator  hyperradial Schrödinger equation  hyperradial ladder operator

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