SUPERSYMMETRIC ANALYSIS FOR THE DIRAC EQUATION WITH SPIN-SYMMETRIC AND PSEUDO-SPIN-SYMMETRIC INTERACTIONS
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.19, no.10, pp.1923-1934, 2010 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.