Approximate analytical solutions of the Dirac equation with the generalized Pöschl–Teller potential including the pseudo-centrifugal term

Abstract By employing an improved approximation scheme to deal with the pseudo-centrifugal term, we solve approximately the Dirac equation with the generalized Poschl–Teller potential for the arbitrary spin–orbit quantum number κ . Under the condition of pseudospin symmetry, the bound state energy eigenvalues and the associated two-component spinors of the Dirac particle are obtained approximately by using the basic concept of the supersymmetric shape invariance formalism and the function analysis method.

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