Analytical solution of two-body spinless Salpeter equation for Hellmann potential

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Arda A.

INDIAN JOURNAL OF PHYSICS, vol.91, no.8, pp.903-907, 2017 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 8
  • Publication Date: 2017
  • Doi Number: 10.1007/s12648-017-0988-0
  • Journal Name: INDIAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.903-907
  • Keywords: Bethe-Salpeter equation, Spinless Salpeter equation, Hellmann potential, RELATIVISTIC COULOMB PROBLEM, BOUND-STATES, SEMIRELATIVISTIC HAMILTONIANS, DISCRETE SPECTRA, EIGENVALUES
  • Open Archive Collection: AVESIS Open Access Collection
  • Hacettepe University Affiliated: Yes

Abstract

Approximate bound state solutions of the spinless Salpeter equation for the Hellmann potential are studied for heavy particles. By using functional analysis method, an analytical expression for the energy levels, and the corresponding eigenfunctions of the system are obtained in terms of the hypergeometric functions. The analytical results for the Yukawa and Coulomb potentials are also studied as special cases.