Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics

Abstract

The analytical solution of the modified radial Schrödinger equation for the Hulthén potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the shape invariance consept that was introduced by Gendenshtein method by using the improved approximation scheme to the centrifugal potential for arbitrary $l$ states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states.

arXiv comment22 pages, 2 tables. arXiv admin note: substantial text overlap with arXiv:1210.5377

References in corpus (9)

• Supersymmetry and Quantum Mechanics
• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Hamiltonian hierarchy and the Hulthen potential
• Supersymmetry, Variational Method and Hulthén Potential
• Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state
• Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential
• The Schrodinger equation with Hulthen potential plus ring-shaped potential
• Analytical solutions of the Klein-Fock-Gordon equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential

Cited by in corpus (2)

• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential