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Chinese Physics, 2000, Vol. 9(10): 731-736    DOI: 10.1088/1009-1963/9/10/003
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GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

Chen Chang-yuan (陈昌远)
Department of Physics, Yancheng Teachers College, Yancheng 224002, China
Abstract  In this paper, the general formulas and the recurrence formulas for radial matrix elements of N-dimensional isotropic harmonic oscillator are obtained. The relevant results of 2- dimensional and 3- dimensional isotropic harmonic oscillators reported in the reference papers are contained in a more general equations derived in this paper as special cases.
Keywords:  N-dimensional isotropic harmonic oscillator      general formulas for radial matrix elements      recurrence formulas for radial matrix elements  
Received:  03 March 2000      Revised:  24 June 2000      Accepted manuscript online: 
PACS:  02.10.Yn (Matrix theory)  
  03.65.Fd (Algebraic methods)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the Natural Science Foundation of the Education Commission of Jiangsu Province, China (Grant No:98KJD140003).

Cite this article: 

Chen Chang-yuan (陈昌远) GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR 2000 Chinese Physics 9 731

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