Approximate Solutions of Dirac Equation with Hyperbolic-Type Potential

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Arda A., Sever R.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.64, no.3, pp.269-273, 2015 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 64 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1088/0253-6102/64/3/269
  • Journal Name: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.269-273
  • Keywords: hyperbolic-type potential, Dirac equation, approximate solution, KLEIN-GORDON EQUATION, SCHRODINGER-EQUATION, BOUND-STATES, PSEUDOSPIN SYMMETRY, SCALAR, VECTOR, SPIN
  • Open Archive Collection: AVESIS Open Access Collection
  • Hacettepe University Affiliated: No

Abstract

The energy eigenvalues of a Dirac particle for the hyperbolic-type potential field have been computed approximately. It is obtained a transcendental function of energy, F(E), by writing in terms of confluent Heun functions. The numerical values of energy are then obtained by fixing the zeros on "E-axis" for both complex functions Re[F(E)] and Im[F(E)].