| Resumen |
We study quantum system with a symmetric sine hyperbolic type potential V( x) = V0[ sinh4( x)- k sinh2( x)], which becomes single or doublewell depending on whether the potential parameter k is taken as negative or positive. We find that its exact solutions can be written as the confluent Heun functions Hc( a, ss,., d,.; z), inwhich the energy level E is involved inside the parameter.. The properties of the wave functions, which is strongly relevant for the potential parameter k, are illustrated for a given potential parameter V0. It is shown that the wave functions are shrunk to the origin when the negative potential parameter | k| increases, while for a positive k which corresponding to a double well, the wave functions with a certain parity are changed sensitively. |
