Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Abstract

Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

17 pages, 4097 words, 4 Tables, 7 figures and accepted for publication at Revista Mexicana de Fisica

References in corpus (2)

• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential

Cited by in corpus (1)

• Analytical solutions of the Schrödinger equation with Kratzer-screened Coulomb potential to the Quarkonium systems