Solutions of the schrödinger equation for the singular (r=o) and other power series potentials

SOLUTIONS OF THE SCHRÖDİNGER EQUATION FOR THE SI NGULAR (r=0) AND OTHER POWER SERIES POTENTIALS CPh. D. Thesis) SUleyman OZCELIK OAZt UNIVERSITY INSTITUTE OF SCIENCE AND TECHNOLOGY July 1991 ABSTRACT In this study, a method Is presented to solve the radial Schrödinger equation. The method based on defining a solution function of the form 0(r) = f (r)exp(g(r)) and transforming the radial equation into a differential equation which depends on the functions f'(r) and g(r). For any given potential this differential equation can be solved algebraically by choosing appropriate f(r) and g(rD functions. As an application for this method, the radial wave equation is solved for some singular and other power -series potentials. The results obtained are compared with the results of some of the other methods. Science Code : 404.03. Ol; 404. 06. 01 Keywords s Potentials, Schrödinger Equation, Exact Solutions Page Number : 108 Adviser ; Doç. Dr. Mehmet ŞİMSEK III