数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (1): 71-78.
卢书城1, 倪光炯2
Lu Shucheng1, Ni Guangjiong2
摘要: 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.