Massive Dirac equation in asymmetric Hulthen potential

Candemir N., BAYRAK O.

JOURNAL OF MATHEMATICAL PHYSICS, vol.54, no.4, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 4
  • Publication Date: 2013
  • Doi Number: 10.1063/1.4799043
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anadolu University Affiliated: Yes

Abstract

One-dimensional effective mass Dirac equation is solved in asymmetric Hulthen potential. Scattering and bound state solutions are obtained in terms of hypergeometric functions. Transmission and reflection coefficients are calculated by matching conditions on the wave function. The necessary conditions for the existence of transmission resonances and supercriticality are derived. (C) 2013 American Institute of Physics.