Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states


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Arda A., Sever R.

JOURNAL OF MATHEMATICAL PHYSICS, vol.52, no.9, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 9
  • Publication Date: 2011
  • Doi Number: 10.1063/1.3641246
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS
  • Keywords: bound states, eigenvalues and eigenfunctions, nonlinear differential equations, relativistic quantum mechanics, scattering, wave equations, wave functions, POSITION-DEPENDENT MASS, COULOMB POTENTIALS, 1/N EXPANSION, VECTOR POTENTIALS, DIRAC-EQUATION, SCALAR

Abstract

Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum l. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated as well as for the constant mass case. Bound state solutions of the Coulomb potential are also studied as a limiting case. Analytical and numerical results are compared with the ones obtained before. (C) 2011 American Institute of Physics. [doi:10.1063/1.3641246]