| Resumen |
We find that the analytical solutions to quantum system with a quartic potential (arbitrary and are real numbers) are given by the triconfluent Heun functions . The properties of the wave functions, which are strongly relevant for the potential parameters and , are illustrated. It is shown that the wave functions are shrunk to the origin for a given when the potential parameter increases, while the wave peak of wave functions is concaved to the origin when the negative potential parameter increases or parameter decreases for a given negative potential parameter. The minimum value of the double well case ( ) is given by at . |
