Bound states of the Klein–Gordon equation with vector and scalar Rosen–Morse-type potentials☆

Abstract Solving Klein–Gordon equation with equal scalar and vector Rosen–Morse-type potentials, we obtain the exact energy equation for the s-wave bound states. It has been shown that the energy equations and corresponding wavefunctions for the standard Rosen–Morse well, Eckart potential and their PT-symmetric versions are included in those for Rosen–Morse-type potential as special cases.

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