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Chinese Physics, 2003, Vol. 12(8): 831-835    DOI: 10.1088/1009-1963/12/8/302
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The calculating formula for radial matrix elements of a relativistic harmonic oscillator

Qiang Wen-Chao (强稳朝)
Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
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.
Keywords:  relativistic harmonic oscillator      radial matrix element      confluent hypergeometric function  
Received:  31 December 2002      Revised:  10 April 2003      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.Pm (Relativistic wave equations)  
  03.30.+p (Special relativity)  
  02.10.Yn (Matrix theory)  
  02.30.Sa (Functional analysis)  

Cite this article: 

Qiang Wen-Chao (强稳朝) The calculating formula for radial matrix elements of a relativistic harmonic oscillator 2003 Chinese Physics 12 831

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