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Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials. (English) Zbl 1123.81350

Summary: 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.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81U15 Exactly and quasi-solvable systems arising in quantum theory
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