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| We analyze the stationary radial Klein-Gordon equation with mixed vector and scalar potentials, and specifically for the case with V(r)=S(r) type-I Poschl-Teller potentials for s-wave bound states, we obtain the exact wave function and the energy spectrum via hypergeometric functions. As for Dirac equation, we introduce the radial functions in two ways, based on the complete sets [H, kappa, J, P] and (H, kappa,J^2,J_z), respectively. Its s-wave bound states with V(r)=S(r) lead to the identical radial equation with that of the Klein-Gordon equation, which give rise to an immediate solution. |
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| Keywords:Klein-Gordon Equation;Dirac Equation;Bound States, Hypergeometric Function, Type-I Poschl-Teller Potential |
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