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\(\kappa \) state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry. (English) Zbl 1133.81018

Summary: For any spin-orbit coupling term \(\kappa \), the analytical solutions of the Dirac equation for the Eckart potential are presented by using the asymptotic iteration method within the framework of the spin and pseudospin symmetry concept. The energy eigenvalues are obtained in the closed form by applying an approximation to the spin-orbit coupling potential.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81R25 Spinor and twistor methods applied to problems in quantum theory
22E70 Applications of Lie groups to the sciences; explicit representations
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