Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

Abstract

The bound state solutions of the Schrödinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method are reported. We obtain the energy spectrum and the wave functions with this potential for arbitrary -state. It is shown that the results of this potential reduced to the standard potentials-Rosen-Morse, PoschlTeller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases. l 

Bound state solutions ofd-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

“…[14] to study the Schrödinger equation for Eckart plus modified Hylleraas potentials in d dimensions using the Nikiforov-Uvarov method. [15][16][17][18][19][20][21][22][23] The Eckart potential which has been studied by many researchers [8,9] is one of the most important exponential-type potentials in physics and chemical physics whereas the Hylleraas potential can be used to study diatomic molecules. [24,25] Recently, researchers have shown interest in the solutions of the Schrödinger equation in d dimensions, out of the desire to generalize the solution to multi-dimensional space.…”