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

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

2010-06-23

arxiv.org/abs/1006.4628v1

Int.J.Mod.Phys.E19:1923-1934,2010

Physics

Mathematical Physics

12 pages

Scientific paper

10.1142/S0218301310016417

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.

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