الفهرس | Only 14 pages are availabe for public view |
Abstract Summary The aim of this thesis is to examine a few solutions of multidimensional Schrödinger equation (SE) with the different kinds of symmetrical effective potentials by employing the analytical exact iteration method (AEIM) and the Nikiforov–Uvarov (NU) method. The applications on the properties of heavy and heavy-light mesons are studied. This thesis contains five chapters and is ranked as follows: Introduction, four chapters, and a list of the references. Chapter One: In this chapter, the basic concepts and theories are given such as the fundamental forces, the concept of quantum chromodynamics theory (QCD) and its characteristics such as asymptotic freedom, color-confinement. The derivation of the N-dimensional SE and a comprehensive survey of previous works related to the N-dimensional SE is also included with its applications to meson properties. Chapter Two: In this chapter, the trigonometric Rosen-Morse potential is suggested as a quark-antiquark interaction potential for studying thermodynamic properties and masses of heavy and heavy-light mesons. For this purpose, the Nradial SE is analytically solved using an analytical exact iteration method (AEIM). The energy eigenvalues and corresponding eigen functions are obtained in the N-space. The present results are applied in / calculating the mass of |