GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

doi:10.1088/1009-1963/9/10/003

中国物理B ›› 2000, Vol. 9 ›› Issue (10): 731-736.doi: 10.1088/1009-1963/9/10/003

GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

陈昌远

Department of Physics, Yancheng Teachers College, Yancheng 224002, China

收稿日期:2000-03-03 修回日期:2000-06-24 出版日期:2000-12-25 发布日期:2005-06-10
基金资助:
Project supported by the Natural Science Foundation of the Education Commission of Jiangsu Province, China (Grant No:98KJD140003).

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

Received:2000-03-03 Revised:2000-06-24 Online:2000-12-25 Published:2005-06-10
Supported by:
Project supported by the Natural Science Foundation of the Education Commission of Jiangsu Province, China (Grant No:98KJD140003).

摘要/Abstract

摘要： 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.

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.

Key words: N-dimensional isotropic harmonic oscillator, general formulas for radial matrix elements, recurrence formulas for radial matrix elements

中图分类号: (Matrix theory)

02.10.Yn

03.65.Fd (Algebraic methods) 03.65.Ge (Solutions of wave equations: bound states)

陈昌远. GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR[J]. 中国物理B, 2000, 9(10): 731-736.

Chen Chang-yuan (陈昌远). GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR[J]. Chinese Physics, 2000, 9(10): 731-736.

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GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

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