Solutions of the Schrodinger Equation for Modified Mobius Square Potential using two Approximation Scheme

TL;DR

This paper analytically solves the Schrödinger equation for the Modified Mobius Square potential using two approximation schemes, deriving eigenfunctions and energy eigenvalues for various angular momenta.

Contribution

It introduces an exact analytical approach to solve the Schrödinger equation with the Modified Mobius Square potential using two approximation methods.

Findings

Eigenfunctions and energy eigenvalues obtained analytically

Applicable to s-wave and arbitrary angular momenta

Special cases of the potential are discussed

Abstract

In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.