Open AccessArbitrary Solution of the Schrödinger Equation Interacting with the Superposition of Hulthen with Spin-orbit Plus Adjusted Coulomb Potential Model
Author(s) -
E. A. Thompson,
I. O. Akpan,
Craig A. Thompson
Publication year - 2021
Publication title -
european journal of applied physics
Language(s) - English
Resource type - Journals
ISSN - 2684-4451
DOI - 10.24018/ejphysics.2021.3.6.128
Subject(s) - wave function , superposition principle , physics , coulomb , schrödinger equation , orbit (dynamics) , spin (aerodynamics) , woods–saxon potential , quantum mechanics , quantum electrodynamics , mathematical physics , nuclear reaction , engineering , thermodynamics , aerospace engineering , electron
In this study, we solve the non-relativistic radial part of the Schrödinger wave equation for the superposition of the Hulthen with spin-orbit plus adjusted Coulomb potential (SHSC) potential using the Nikiforov-Uvarov (NU) method for arbitrary states. The Hulthen with spin-orbit plus adjusted Coulomb (SHSC) potential is the simplest potential field for a nuclear system and has been used to obtain the single particle energy spectrum for both nucleon species orbiting a closed nuclear core. We also obtained in this study the corresponding single particle normalized wave function expressed in terms of the Jacobi polynomial. Besides, we obtained two special cases of the energy spectra for the SHSC potential.