arXiv:2012.11716

Analytical Solutions of the Schrodinger Equation for Hua Potential within the Framework of two Approximations Scheme

C. M. Ekpo, E. B. Ettah

Published Dec 18, 2020• 0 citations

Abstract

In this paper, we solve analytically the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential is investigated respectively. The wave function as well as energy equation are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

DOI: 10.48550/arxiv.2012.11716

Related papers

Solutions of the Schrodinger Equation for Modified Mobius Square Potential using two Approximation Scheme

C. M. Ekpo, Jonathan Osang, E. B. Ettah

In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

arXiv:2012.11498Dec 18, 20200 citations

The Analytical Solutions of the Schrodinger Equation for a Single Electron in the Nikiforov-Uvarov Framework

Yacobus Yulianto, Zaki Su’ud

In this study, it is intended to show an alternative method to derive the wave function of a single electron as solutions of the Schrodinger equation. The Nikiforov-Uvarov method was chosen to be utilized since this method can solve the Schrodinger equation with several well-known potentials in the non-relativistic mechanics of quantum. The obtained results of this study have succeed to explain the wave function and the energy eigenvalue for a single electron as lectured in quantum physics textbooks. These results prove that the Nikiforov-Uvarov method provides an alternative procedure to solve the Schrodinger equation.

Jurnal FisikaNov 23, 20201 citation

Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method

F Yaşuk, C Berkdemir, A Berkdemir

The general solutions of the Schrödinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrödinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.

arXiv:quant-ph/0410144Journal of Physics A Mathematical and GeneralJul 6, 200592 citations

Exact solutions of the Schrodinger equation with non central potential by Nikiforov Uvarov method

F. Yasuk, Cüneyt Berkdemir, Ayşe Berkdemir

The general solutions of Schrodinger equation for non central potential are obtained by using Nikiforov Uvarov method. The Schrodinger equation with general non central potential is separated into radial and angular parts and energy eigenvalues and eigenfunctions for these potentials are derived analytically. Non central potential is reduced to Coulomb and Hartmann potential by making special selections, and the obtained solutions are compared with the solutions of Coulomb and Hartmann ring shaped potentials given in literature.

Oct 19, 200474 citations

Exact solution of Schrödinger equation with q -deformed quantum potentials using Nikiforov—Uvarov method

B. J. Falaye, K. J. Oyewumi, M. Abbas

In this paper, we present the exact solution of the one-dimensional Schrödinger equation for the q -deformed quantum potentials via the Nikiforov—Uvarov method. The eigenvalues and eigenfunctions of these potentials are obtained via this method. The energy equations and the corresponding wave functions for some special cases of these potentials are briefly discussed. The PT-symmetry and Hermiticity for these potentials are also discussed.

arXiv:1109.3894Chinese Physics BNov 1, 201338 citations

Exact Solution of Schrodinger Equation for Three Physical Potentials Using Nikiforov-Uvarov Method

B. J. Falaye, K. J. Oyewumi, M. Abbas

In this paper, we present the exact solution of one dimensional Schr\'odinger equation for Wood-Saxon plus Rosen-Morse plus symmetrical double well potential via Nikiforov-Uvarov mathematical method. The eigenvalues and eigenfunctions of this potential are obtained. The energy equations and the corresponding wave function for special cases of this potential are briefly discussed. The PT-symmetry and Hermiticity for this potential are also considered.

Sep 21, 20110 citations