Bound State Solutions of Klein-Gordon Equation with Manning-Rosen Plus a Class of Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov

Abstract

______________________________________________________________________________ IntroductionThere has been a growing interest in investigating the approximate solutions of the KleinGordon equation and relativistic wave equations for some physical potential models. This is due to the fact that the analytical solutions contain all the necessary information for the quantum system under consideration [1]. Taking the relativistic effects into account, a quantum system in a potential field should be described with the Klein-Gordon equation and Dirac equation. When a quantum system is in a strong potential field, the relativistic effect must be considered, which gives the correction for nonrelativistic quantum mechanics. Over the years, different researchers have investigated the bound state solutions of Klein-Gordon equations in some typical potential fields, such as Coulomb potential , and double ring-shaped Kratzer potential [12]. Recently, our research group has also reported the analytical solutions to the Klein-Gordon equation with different mixed potentials such as generalized wood-saxon plus Mie-type potential (GWSMP) [13], modified echart plus inverse square molecular potential (MEISMP) [14].The purpose of this paper is to solve the Klein-Gordon equation for a novel mixed type potential consisting of Mannin-Rosen and a class of Yukawa-like potential(MRCYP) using the parametric NU method.

Approximate l-States Solutions to the Schrodinger Equation with Manning-Rosen plus Hellmann Potential via WKB Approximation Scheme

“…suggested that the strength of the angular momentum ( + 1) should be treated as an adjustable parameter K, not as a fixed quantity. Langer pointed out that K should be replaced with the term ( + regularizes the radial WKB wave function at the origin and ensure correct asymptotic behaviour at large quantum numbers [9][10][11][12][13][14][15][16][17] .…”

Non-Relativistic Bound State Solutions of Modified Quadratic Yukawa plus <i>q</i>-Deformed Eckart Potential

“…Researchers have put on their interest over the years with the aim of investigating the bound state solutions of relativistic and nonrelativistic wave equations for different potentials. A few of these potentials have been solved exactly [1], while others can only be solved approximately [2] [3], with the use of different approximation schemes [4] [5]. Subsequently, various methods have been applied to obtain the solutions of the nonrelativistic wave equations with a chosen potential model.…”