SHIFTED 1/N EXPANSION FOR THE KLEIN-GORDON EQUATION WITH VECTOR AND SCALAR POTENTIALS

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MUSTAFA O., SEVER R.

PHYSICAL REVIEW A, vol.44, no.7, pp.4142-4144, 1991 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 7
  • Publication Date: 1991
  • Doi Number: 10.1103/physreva.44.4142
  • Journal Name: PHYSICAL REVIEW A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET
  • Page Numbers: pp.4142-4144
  • Middle East Technical University Affiliated: No

Abstract

The shifted 1/N expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical results are applied to a linear scalar potential to obtain the relativistic energy eigenvalues. Our numerical results are compared with those obtained by Gunion and Li [Phys. Rev. D 12, 3583 (1975)].