Exact Eigenvalues and Eigenfunctions of the Hulthen Potential in the PT-Symmetry for Any Angular Momentum

Abstract

The Schrodinger equation with the PT-symmetric Hulthen potential is solved exactly by taking into account effect of the centrifugal barrier for any l-state. Eigenfunctions are obtained in terms of the Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. Our numerical results are in good agreement with the ones obtained before. Keywords: Energy Eigenvalues and Eigenfunctions; Hulthen potential; PT-symmetry; Nikiforov-Uvarov Method.

arXiv comment24 pages

References in corpus (3)

• Supersymmetry, Variational Method and Hulthén Potential
• The Interpretation of Quantum-Mechanical Models with Non-Hermitian Hamiltonians and Real Spectra
• Exact Supersymmetric Solution of Schrodinger Equation for central confining Potentials by using the Nikiforov-Uvarov Method

Cited by in corpus (4)

• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
• Bound-States of the Spinless Salpeter Equation for the PT-Symmetric Generalized Hulthen Potential by the Nikiforov-Uvarov Method