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++.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Muller, Paul Lawrence

Publisher

• Worcester Polytechnic Institute

Identifier

• 01D227M

Advisor

• Lew Yan Voon, Lok C.

Year

• 2001

Date created

• 2001-01-01

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright