Exact solution of Effective mass Schrodinger Equation for the Hulthen potential
Ramazan Sever, Cevdet Tezcan, Ozlem Yesiltas, Mahmut Bucurgat
TL;DR
This paper presents an exact analytical solution to the effective mass Schrödinger equation with the Hulthen potential using the Nikiforov-Uvarov method, providing explicit energy eigenvalues and wave functions.
Contribution
It introduces a novel approach by incorporating a free parameter in the wave function transformation for solving the effective mass Schrödinger equation with Hulthen potential.
Findings
Derived explicit energy eigenvalues for the Hulthen potential
Obtained analytical wave functions for the system
Demonstrated the method's effectiveness for potential problems
Abstract
A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
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