Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential

Abstract

This study presents the solutions of Schrödinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schrödinger equation are obtained using the method of variable separation. More so, the bound states energy eigenvalues and corresponding eigenfunctions are obtained analytically. Numerical results were obtained for the Generalized Inverse Quadratic Yukawa Potential for comparison sake. It was found out that our results agree with existing literature.

Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method

“…The solution of the Schrödinger equation contains all the necessary information needed for the full description of a quantum state such as the probability density and entropy of the system 7,8 . The Schrödinger equation with many physical potentials model have been investigated in recent times with different advance mathematical technique such as Nikiforov-Uvarov (NU) method [9][10][11] , asymptotic iteration method (AIM) [12][13][14][15][16] , functional analysis approach 16 , supersymmetric quantum mechanics (SUSYQM) [17][18][19][20] among others 21 . One of such potential models is the Kratzer potential 22 where D is the dissociation energy and a is the equilibrium internuclear length.…”

Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential

“…It is asymptotic to a finite value as → ∞ and becomes infinite at = 0 [18]. This potential has been solved within the framework of the Proper Quantisation Rule [19] and Eigenfunction was obtained via the Formula Method [20].…”

An Analytical Solution to the Problem of Hydrogen Isotope Passage through Composite Membranes Made from 2D Materials

“…On the basis of various types of potential used in the equation, it is possible to single out works on solving the NLSE for an inseparable complex potential [12], the potential function of the Morse oscillator for a periodic external field [13], an arbitrary potential that determines bound states [14], a non-central generalized inverse quadratic potential of Yukawa within the Nikiforov-Uvarov framework [15]. Analytical solutions of the Schrödinger equation for some diatomic molecular potentials with any angular momentum are obtained in [16].…”