Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions
Mathematical Physics
2010-11-09 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1006.4628,
title = {Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions},
author = {Richard L. Hall and Ozlem Yesiltas},
journal= {arXiv preprint arXiv:1006.4628},
year = {2010}
}
Comments
12 pages