SOP Transactions on Theoretical Physics

Approximate Solutions Of The Non-Relativistic Schrődinger Equation With An Interaction Of Coulomb And Hulthѐn Potentials.

C. A. Onate

Published Jun 30, 2014• 11 citations

Abstract

By using the Pekeris approximation type, the Schrodinger equation is solved for the interaction ¨ of Coulomb and Hulthen potentials within the framework of supersymmetric approach and Nikiforov-Uvarov method. The energy levels are obtained with the corresponding wave functions in terms of hypergeometric functions.

DOI: 10.15764/tphy.2014.02011

Related papers

Bound- State Solution of Schrodinger Equation with Hulthen Plus Generalized Exponential Coulomb Potential Using NIKIFOROV-UVAROV Method

I. B. Okon, Oyebola O. Popoola

We apply an approximation to centrifugal term to find bound state solutions to Schrodinger equation with Hulthen Plus generalized exponential Coulomb potential Using Nikiforov-Uvarov Method.Using this method, we obtained the energy-eigen value and the total wave function.We implement C++ algorithm, to obtained the numerical values of the energy for different quantum state starting from the first excited state for different values of the screening parameter.

International Journal of Recent advances in PhysicsAug 31, 201513 citations

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

Itue B.Okon, Oyebola O. Popoola, Eno E. Ituen

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.

International Journal of Recent advances in PhysicsMar 9, 201611 citations

Schrödinger Equation with Hulthén Potential Plus Ring-Shaped Potential

D. Agboola

We present the solutions of the Schrödinger equation with the Hulthén potential plus ring-shape potential for ℓ ≠ 0 states within the framework of an exponential approximation of the centrifugal potential. Solutions to the corresponding angular and radial equations are obtained in terms of special functions using the conventional Nikiforov—Uvarov method. The normalization constant for the Hulthén potential is also computed.

arXiv:0811.4441Communications in Theoretical PhysicsJun 1, 201134 citations

The solution of differential equation with Hulthen potential in curved space

Ali Behzadi, S. M. HAJIMIRGHASEMI

The solution of the Schrödinger equation for a physical system in quantum mechanics is of great importance, because the knowledge of wave- function and energy spectrum contain all possible information about the physical properties of a system. In this paper, we have give solution of the Schrödinger equation in three dimensional curved space with Hulthen potential on the positive constant curvature. Then we achieve the wave-function and energy spectrum for the Hulthen potential. In order to solve the corresponding Schrödinger equation, we use of Nikiforov-Uvarov (N.U) method [1]. The N.U method is based on solving the second- order linear differential equations by reducing to a generalized equation of hypergeometric type.

Cumhuriyet Science JournalApr 24, 20170 citations

Approximate bound state solutions of nonrelativistic Schrödinger equation with q-deformed Hulthen plus modified inversely quadratic Yukawa potential within the framework of Nikiforov-Uvarov method

Akaninyene Daniel Antia, Ita O. Akpan

We study the nonrelativistic Schrödinger equation for q-deformed Hulthen plus modified inversely quadratic Yukawa potential using the generalized parametric form of NIkiforov-Uvarov method. The energy eigenvalues and the corresponding normalized wave functions expressed in terms of hypergeometric function are obtained. We have also discussed four (4) special cases of this potential, i.e. Woods-Saxon, Hulthen, Morse and inversely quadratic potentials. Keywords: Nonrelativistic Schrödinger equation, q-deformed Hulthen potential, modified inversely quadratic Yukawa potential, parametric Nikiforov-Uvarov method.

Advances in physics theories and applicationsJan 1, 20150 citations

The Hulthén potential in D-dimensions

D. Agboola

An approximate solution of the Schrödinger equation with the Hulthén potential is obtained in D-dimensions with an exponential approximation of the centrifugal term. A solution to the corresponding hyperradial equation is given by using the conventional Nikiforov–Uvarov method. The normalization constants for the Hulthén potential are also computed. The expectation values ⟨r −2⟩, ⟨V(r)⟩ are also obtained by using the Hellmann–Feynman theorem.

arXiv:0811.3626Physica ScriptaDec 1, 200959 citations