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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
引用本文:赵素琴. 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[J]. 大学物理, 2007, 26(2): 5-7,16
作者姓名:赵素琴
作者单位:青海民族学院,学报编辑部,青海,西宁,810007
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
文章编号:1000-0712(2007)02-0005-03
收稿时间:2006-03-13
修稿时间:2006-03-13

General formula of perturbation matrix elements of three dimensional harmonic oscillator in uniform magnetic field
ZHAO Su-qin. General formula of perturbation matrix elements of three dimensional harmonic oscillator in uniform magnetic field[J]. College Physics, 2007, 26(2): 5-7,16
Authors:ZHAO Su-qin
Affiliation:Editor Office of Qinghai Nationalities Institute, Xining, Qinghai 810007, China
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 re- moval of degeneracy of n=3 energy level is discussed.
Keywords:three dimensional harmonic oscillator  degeneracy  perturbation  uniform magnetic field  matrix elements
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