Acta mathematica scientia,Series B ›› 1992, Vol. 12 ›› Issue (1): 71-78.

• Articles • Previous Articles     Next Articles

THE APPLICATION OF HOMOGENEOUS FUNCTION ANALYSIS TO RELATIVISTIC WkB APPROXIMATIONS

Lu Shucheng1, Ni Guangjiong2   

  1. 1. Dept. of Phys., Jiujiang Teacher's College, Jiujiang 332000, China;
    2. Dept. of Phys., Fudan Univ., Shanghai 200433, China
  • Received:1989-02-18 Online:1992-03-25 Published:1992-03-25

Abstract: This paper illustrates.how homogeneous function, analysis can be. generalized to relativistic quantum mechanics for finding the WKB energy levels of Dirac particle in the positive power-law potentials (V=λrv, S=λr'v, λ, λ', v>0). The results show that the equation determining energy levels contains a product of hypergeometric function with some gamma functions, and the energy of particle is proportional to (2nr+l+3/2)(2v/1+v) under the condition that the relativistic effect plays a principal role in contrast with the (2nr+l+3/2)(2v/2+v) dependence in nonrelativistic case.

Trendmd