AlAmoudi, Said Mohammad Said (1993) Finite space direct and inverse problem in quantum Mechanical scattering theory using the born approximation. Masters thesis, King Fahd University of Petroleum and Minerals.
 PDF 4Mb 
Arabic Abstract

English Abstract
The direct scattering problem in a finite space was studied by expanding the radial wave function of a particle of mass u, confined within a threedimensional sphere of radius a in terms of a set of discrete spherical Bessel functions. The finite space version of the partial wave Born approximation was derived and two inversion techniques were developed to invert it. The first, involves using the inverse function of jl² ( r ) while the second involves reducing the problem to a matrix equation Ax = b and then inverting the matrix A, which turns out to be singular. Although the matrix A is singular, we manage to invert it using generalized inverse concepts and techniques. In the course of developing the first of the above inversion techniques, some new and relevant mathematical relations were obtained. Furthermore, the infinite space inversion techniques developed in ref. [7] were improved by inverting the second partial wave Born approximation rather than the first partial wave Born approximation.
Item Type:  Thesis (Masters) 

Date:  June 1993 
Date Type:  Completion 
Subjects:  Physics 
Divisions:  College Of Sciences > Physics Dept 
Creators:  AlAmoudi, Said Mohammad Said 
Committee Advisor:  Mavromatis, H. A. 
Committee Members:  Bahlouli, H and Riazuddin,  
ID Code:  9728 
Deposited By:  KFUPM ePrints Admin 
Deposited On:  22 Jun 2008 16:47 
Last Modified:  25 Apr 2011 09:22 
Repository Staff Only: item control page