中国物理B ›› 2003, Vol. 12 ›› Issue (8): 831-835.doi: 10.1088/1009-1963/12/8/302

• GENERAL • 上一篇    下一篇

The calculating formula for radial matrix elements of a relativistic harmonic oscillator

强稳朝   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • 收稿日期:2002-12-31 修回日期:2003-04-10 出版日期:2005-03-16 发布日期:2005-03-16

The calculating formula for radial matrix elements of a relativistic harmonic oscillator

Qiang Wen-Chao (强稳朝)   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • Received:2002-12-31 Revised:2003-04-10 Online:2005-03-16 Published:2005-03-16

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摘要： A universal practical formula is given for calculating an integral which includes two confluent hypergeometric functions, power and exponential functions; then by means of this formula, the expressions of the radial matrix elements for a relativistic harmonic oscillator are given.

Abstract: A universal practical formula is given for calculating an integral which includes two confluent hypergeometric functions, power and exponential functions; then by means of this formula, the expressions of the radial matrix elements for a relativistic harmonic oscillator are given.

Key words: relativistic harmonic oscillator, radial matrix element, confluent hypergeometric function

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Pm (Relativistic wave equations) 03.30.+p (Special relativity) 02.10.Yn (Matrix theory) 02.30.Sa (Functional analysis)