Approximate Solution of Schrodinger Equation for Hulthen Potential plus Eckart Potential with Centrifugal Term in terms of Finite Romanovski Polynomials

Abstract

I.

Approximate solution wave propagation in TM mode through a graded interface of permittivity/permeability profile using asymptotic iteration method

“…Thus, the analytical solution of Maxwell's equations can be solved in this domain. Homogeneous second order ordinary differential equations appeared widely in the literature and there are several ways to obtain an exact solution such as using methods of hypergeometry, supersymmetry quantum mechanics 7 , Nikiforov-Uvarov (NU) 18 , Romanovski polynomials [19][20][21] and which has recently been used is asymptotic iteration method (AIM) to solve the eigenvalue problem 8 and electromagnetic wave propagation in inhomogeneous ordinary material 12 .…”

A model of a nonlinear DNA-protein interaction system with general Hylleraas potential

“…We used WKB (Wentzel, Kramer, and Brillouin) approximation method to determine the spectrum energy [16]. WKB approximation is often used to solve problems in quantum mechanics to determine either the wave function or energy [17]. Several studies using this approach have been proposed [18,19].…”