Exact solutions of Deformed Schrodinger Equation with a class of non central physical potentials

TL;DR

This paper derives exact analytical solutions for the Schrödinger equation with non-central potentials using the asymptotic iteration method, considering position-dependent effective mass, and provides results consistent with existing literature.

Contribution

It introduces a generalized decomposition of the effective potential enabling separation of variables and exact solutions for a class of non-central potentials.

Findings

Analytical energy eigenvalues and eigenfunctions obtained.

Results agree with previous studies.

Method simplifies solving Schrödinger equations with complex potentials.

Abstract

In this paper we present exact solutions of Schrodinger equation (SE) for a class of non central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states for the Schrodinger equation are obtained analytically by means of asymptotic iteration method (AIM) and easily calculated through a new generalized decomposition of the effective potential allowing easy separation of the coordinates. Our results are in excellent agreement with other works in the literature.