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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 κ. The energy eigenvalues and corresponding eigenfunctions are obtained and some numerical results are given.
MSC:
81Q05Closed and approximate solutions to quantum-mechanical equations
81R05Representations of finite-dimensional groups and algebras in quantum theory
81Q10Selfadjoint operator theory in quantum theory, including spectral analysis
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