Exact solutions of the Dirac equation with Pöschl—Teller double-ring-shaped Coulomb potential via the Nikiforov—Uvarov method

Abstract

Exact analytical solutions of the Dirac equation are reported for the Pöschl—Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved using the Nikiforov—Uvarov method, and the exact bound-state energy eigenvalues and corresponding two-component spinor wavefunctions are reported.