Factorization of the radial Schrodinger equation and four kinds of raising and lowering operators of hydrogen atoms and isotropic harmonic oscillators

被引：27

作者：

Liu, YF

Lei, YA

Zeng, JY

机构：

[1] Department of Physics, Peking University

[2] Institute of Theoretical Physics, Chinese Academy of Sciences

来源：

PHYSICS LETTERS A | 1997年 / 231卷 / 1-2期

关键词：

D O I：

10.1016/S0375-9601(97)00256-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It was shown that only for the Coulomb potential and isotropic harmonic oscillator the radial Schrodinger equation can be factorized, Directly from the factorization, two kinds of raising and lowering operators for the isotropic harmonic oscillator, but only one for the hydrogen atom, can be derived. Four kinds of raising and lowering operators connecting the nearest neighboring eigenstates were investigated. (C) 1997 Published by Elsevier Science B.V.

引用

页码：9 / 22

页数：14

共 23 条

[1] RELATIONSHIP BETWEEN SUPERSYMMETRY AND SOLVABLE POTENTIALS [J].