APPLICATION OF THE TRIDIAGONAL REPRESENTATION APPROACH AND THE J- MATRIX METHOD OF SCATTERING IN THEORETICAL PHYSICS

This dissertation is about the application of the Tridiagonal Representation Approach (TRA) in handling linear phenomenons, and for the first time, the J-matrix method of scattering in handling nonlinear phenomenons. The TRA is an algebraic method for solving linear ordinary differential equations of the second order. The advantage of the method in being algebraic is reinforced by the analytic…