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Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method. (English) Zbl 1238.81095

Summary: In this Letter, the Dirac equation is exactly solved for spatially-dependent mass Coulomb potential including a Coulomb-like tensor potential under pseudospin symmetry limit by using asymptotic iteration method with arbitrary spin-orbit coupling number \(\kappa \). The energy eigenvalues and corresponding eigenfunctions are obtained and some numerical results are given.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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