Supersymmetry, Variational Method and Hulth\'en Potential
Elso Drigo Filho, Regina Maria Ricotta
TL;DR
This paper applies supersymmetric quantum mechanics to derive eigenfunctions and use a variational method to calculate eigenvalues for the Hulthén potential, enhancing analytical approaches in quantum mechanics.
Contribution
It introduces a novel combination of supersymmetric quantum mechanics with the variational method for the Hulthén potential.
Findings
Eigenfunctions derived using supersymmetric quantum mechanics
Eigenvalues obtained via variational method
Improved accuracy in energy level calculations
Abstract
The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational mathod to obtain the eigenvalues for the Hulth\'en Potential.
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