大学物理 ›› 2007, Vol. 26 ›› Issue (2): 5-5.

• 著者文摘 • 上一篇    下一篇

均匀磁场中三维各向同性谐振子微扰矩阵元的普遍表达式

赵素琴   

  1. 青海民族学院学报编辑部,青海西宁810007
  • 出版日期:2007-02-25 发布日期:2007-02-20

General formula of perturbation matrix elements of three dimensional harmonic oscillator in uniform magnetic field

  • Online:2007-02-25 Published:2007-02-20

摘要: 根据Laguerre多项式的积分公式,在考虑了哈密顿量中正比于B^2项影响的情况下,导出了均匀磁场中三维各向同性谐振子微扰矩阵元的普遍表达式,并指出n=3能级的简并度完全解除.

关键词: 三维谐振子, 简并, 微扰, 均匀磁场, 矩阵元

Abstract: The general formula of perturbation matrix elements of three dimensional harmonic oscillator in uniform magnetic field are derived using the properties of the general Laguerre polynomials. The complete removal of degeneracy of n = 3 energy level is discussed.

Key words: three dimensional harmonic oscillator, degeneracy, perturbation, uniform magnetic field, matrix elements

中图分类号: 

  • O431.1