Approximate solutions of Klein—Gordon equation with improved Manning—Rosen potential in D -dimensions using SUSYQM

Abstract

In this paper, we present solutions of the Klein-Gordon equation for the improved Manning—Rosen potential for arbitrary l state in d-dimensions using the supersymmetric shape invariance method. We obtained the energy levels and the corresponding wave functions expressed in terms of Jacobi polynomial in a closed form for arbitrary l state. We also calculate the oscillator strength for the potential.

Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Eckart Potential and Yukawa-Like Tensor Interaction

“…In recent years, a lot of effort has been put into solving these relativistic wave equations for various potentials by using different methods [4,5]. Some researchers have investigated the Dirac equation by using a variety of potentials and different methods, such as the spin symmetry in the antinucleon spectrum and tensor type Coulomb potential with spin-orbit number k in a state of spin symmetry and p-spin symmetry [6],bound states of the Dirac equation with positiondependent mass for the Eckart potential [7], the exact solution of Klein-Gordon with the Poschl-Teller double-ring-shaped Coulomb potential [8],the exact solution of the Dirac equation for the Coulomb potential plus NAD potential by using the Nikorov-Uvarov method [9], the potential Deng-Fan and the Coulomb potential tensor using the asymptotic iteration method (AIM) [10],the potential Poschl-Teller plus the Manning Rosen radial section with the hypergeometry method [11], the solution ofKlein-Gordon equation for Hulthen non-central potential inradial part with Romanovski polynomial [12],and the solution [13], the Scarf potential with the new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials [14],for the q-deformed hyperbolic Poschl-Teller potential and the trigonometric Scarf II noncentral potential by using AIM [15],eigensolutions of the deformed Woods-Saxon potential via AIM [16],approximate solutions of the Klein Gordon equation with an improved Manning Rosen potential in D-dimensions using SUSYQM [17], and eigen spectra of the Dirac equation for a deformed Woods-Saxon potential via the similarity transformation [18].…”

Improved Pöschl-Teller potential energy model for diatomic molecules

“…The improved empirical potential functions are convenient for practical applications, including modeling interatomic interaction potential energy curve, calculations of relativistic rotational‐vibrational levels for diatomic molecules, and calculating thermodynamic properties of diatomic molecules . The recent works in the aspect of constructing improved empirical potentials have aroused much interest for many authors in chemistry and physics …”

Entropic system in the relativistic Klein-Gordon Particle

“…2.1. The Klein-Gordon equation (KGE) with Kratzer-Hellmann potential The KGE is use to describe spinless particles in the domain of relativistic wave equation [31,32,33,34,35,36,37,38]. The Klein-Gordon equation for space-time scalar potential S (r) and the time component of the Lorentz four-vector potential V(r) arising from minimal coupling, in the relativistic unit ( = c = 1), reads…”