Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method. Issue 11 (November 2018)

• Record Type: Journal Article
• Authors: Onate, C.A.; Adebimpe, O.; Lukman, A.F.; Adama, I.J.; Okoro, J.O.; Davids, E.O.
• Is Part Of: Heliyon. Volume 4:Issue 11(2018)
• Publication Date: 2018-11
• Subjects: Quantum mechanics; Research -- Periodicals; Medical sciences -- Periodicals; Natural history -- Periodicals; Social sciences -- Periodicals; Earth sciences -- Periodicals; Physical sciences -- Periodicals; 507.2
• DOI: 10.1016/j.heliyon.2018.e00977
• Languages: English
• ISSNs: 2405-8440

Abstract

Abstract: The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attractive potential model with the centrifugal term are investigated using the elegant methodology of the parametric Nikiforov-Uvarov. The energy equation and the corresponding un-normalized radial wave functions are obtained in a close and compact form after a proper Greene-Aldrich approximation scheme is applied. By changing the numerical values of some potential strengths, special cases of the Attractive potential are investigated in detail. The effects of the potential strengths and potential range respectively on the energy are also studied. The energy is found to be very sensitive to each of the potential parameters. Some theoretic quantities such as information energy, Rẻnyi entropy and Tsallis entropy.