Arbitrary l-state solutions of the Klein-Gordon equation with the Poschl-Teller potential

Within the framework of the Klein-Gordon equation, the relativistic bound states for the Poschl-Teller potential are obtained for arbitrary angular momentum quantum numbers by using an approximation for the centrifugal term. The special case for equally scalar and vector Poschl-Teller potential is studied. The energy eigenvalues are obtained in closed form and the corresponding normalized radial wave functions are expressed in terms of the generalized hypergeometric functions. The s-wave (l = 0) case and bound state conditions are also investigated. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim