SUPERSYMMETRIC ANALYSIS FOR THE DIRAC EQUATION WITH SPIN-SYMMETRIC AND PSEUDO-SPIN-SYMMETRIC INTERACTIONS

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Hall R. L., Yesiltas Ö.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.19, no.10, pp.1923-1934, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 10
  • Publication Date: 2010
  • Doi Number: 10.1142/s0218301310016417
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1923-1934
  • Keywords: Dirac equation, spin-symmetric, pseudo-spin-symmetric, shape invariance, supersymmetry, DIMENSIONS
  • Gazi University Affiliated: Yes

Abstract

A supersymmetric analysis is presented for the d-dimensional Dirac equation with central potentials under spin-symmetric (S(r) = V (r)) and pseudo-spin-symmetric (S(r) = -V (r)) regimes. We construct the explicit shift operators that are required to factorize the Dirac Hamiltonian with the Kratzer potential. Exact solutions are provided for both the Coulomb and Kratzer potentials.