Bound states of relativistic particles in the generalized symmetrical double-well potential

Solving the Klein-Gordon and Dirac equations with equal generalized symmetrical double-well scalar and vector potentials by the method of the supersymmetric quantum mechanics, shape invariance approach and the alternative method, we obtain the exact energy equations and unnormalized wavefunctions for the s-wave bound states. Some interesting results including the standard symmetrical double-well potential, reflectionless-type potential and V0tanh2(r/d) potential are also discussed.