Faculty Advisor

Lew Yan Voon, Lok C.

Abstract

This project provides the most comprehensive study to date of the Fourier expansion technique for solving the one-dimensional variable mass Schrodinger equation, as introduced by Mathine, Myjak and Maracas [IEEE Journal of Quantum Electronics, Vol. 31, pp. 1216-1222 (July 1995)]. The technique is analyzed beyond what is reported in the original literature, particularly with regards to the continuity of the functions. The work of Mathine et al has been applied to a more general von Roos Hamiltonian. A secondary objective was to study the viability of programming a scientific problem in C/C++.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2001

Major

Physics

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Physics

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