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arXiv · 1006.4628

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

Richard L. Hall·Ozlem Yesiltas
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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.

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Richard L. Hall, Ozlem Yesiltas. 2010-06-23. Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions. https://doi.org/10.1142/s0218301310016417

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