Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Coulombic Potential with Centrifugal Potential Barrier using Parametric Nikiforov-Uvarov Method

Abstract

In this work, we obtained an approximate bound state solution to Schrodinger with Hulthen plus exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov method. We obtained both the eigen energy and the wave functions to non -relativistic wave equations. We implement Matlab algorithm to obtained the numerical bound state energies for various values of adjustable screening parameter at various quantum state.. The developed potential reduces to Hulthen potential and the numerical bound state energy conform to that of existing literature. KEYWORDSSchrodinger equation Hulthen plus exponential Coulombic potential, Nikiforov-Uvarov method.

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

“…Its application to diverse areas of physics, including nuclear and particle physics, atomic physics, condensed matter physics, and chemical physics, has been of great interest in recent times [27][28][29]. The study of this potential is essential in investigating the interaction existing between two particles [30]. The superposition of Yukawa and Coulomb potential, otherwise known as Hellmann potential [31], has been extensively used by many authors to obtain the energy of the bound state in atomic, nuclear, and particle physics [32][33][34][35][36][37][38][39][40][41].…”

Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method

“…Schrodinger wave equations constitute nonrelativistic wave equation while Klein-Gordon and Dirac equations constitute the relativistic wave equations [6][7][8][9][10]. Bound state solutions predominantly have negative energies because the energy of the particle is less than the maximum potential energy [11]. The quantum interaction potential (HYIQP) can be used to compute the bound state energies for both homonuclear and heteronuclear diatomic molecules.…”

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

“…The parametric form is simply using parameters to obtain explicitly energy eigenvalues and it is based on the solutions of a generalized second order linear differential equation with special orthogonal functions [2]. The hypergeometric NU method has shown high utility in calculating the exact energy levels of all bound states for some solvable quantum systems.…”

“…Researchers have put on their interest over the years with the aim of investigating the bound state solutions of relativistic and nonrelativistic wave equations for different potentials. A few of these potentials have been solved exactly [1], while others can only be solved approximately [2] [3], with the use of different approximation schemes [4] [5]. Subsequently, various methods have been applied to obtain the solutions of the nonrelativistic wave equations with a chosen potential model.…”