Exact solutions of effective mass Schroedinger equations

TL;DR

This paper presents a general method for deriving exact solutions to Schrödinger equations with position-dependent effective mass, including several shape invariant potentials, advancing analytical solutions in quantum mechanics.

Contribution

It introduces a novel general method for solving effective mass Schrödinger equations exactly, covering various potentials including shape invariant ones.

Findings

Exact solutions for multiple potentials obtained

Method applicable to shape invariant potentials

Enhances analytical approaches in quantum mechanics

Abstract

We outline a general method of obtaining exact solutions of Schroedinger equations with a position dependent effective mass. Exact solutions of several potentials including shape invariant potentials have also been obtained.