Exact solutions of the Schrodinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential

Exact solutions of the Schrodinger equation for two 'deformed hyperbolic potentials' that were introduced by Arai [J. Math. Anal. Appl. 158 (1991) 63] have been obtained by using an analytical solution method which has been developed by Nikiforov and Uvarov [Special Functions of Mathematical Physics, Birkhauser, Basel, 1988] for the solutions of the differential equations of hypergeometric type in which the solutions are special functions. (C) 2000 Published by Elsevier Science B.V.