Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions

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.

12 pages

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Cited by in corpus (6)

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• Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Dirac Hamiltonian in a supersymmetric framework
• Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach
• Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems