Raising and lowering operators for the Dirac-Woods-Saxon potential in the presence of spin and pseudospin symmetry
Department of Physics, Shahrood University of Technology, Shahrood, Iran
* e-mail: Hamed.Feizi@gmail.com
Revised: 16 March 2012
Accepted: 1 April 2012
Published online: 17 April 2012
In the case of spin symmetry and pseudospin symmetry, raising and lowering operators and the bound state solutions of the Dirac equation for the spherically Woods-Saxon potential are presented within the context of Supersymmetric Quantum Mechanics. The energy equation and corresponding two-component spinors of the two Dirac particles are obtained in the closed form for arbitrary spin-orbit quantum number k by using the Pekeris approximation. The Hamiltonian hierarchy method and the shape invariance property are used in the calculations.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012