Solution of the κ-Deformed Dirac Equation with Vector and Scalar Interactions in the Context of Spin and Pseudospin Symmetries

Abstract

The deformed Dirac equation invariant under the κ-Poincaré-Hopf quantum algebra in the context of minimum, vector and scalar couplings under spin and pseudospin symmetric limits is considered. Expressions for the energy eigenvalues and wave functions are determined for both symmetry limits. We verify that the energies and wave functions of the particle are modified by the deformation parameter.