The Fast Fourier Transform technique (FFT) is applied for the first time to solve the three-dimensional quantum dot problem. The development of the technique is to solve the one-band, variable-mass, finite barrier Schrodinger equation. Then the theory is applied to the quantum ice cream problem. A secondary objective was to compare the FFT computation with the Finite Difference Method. The FFT is found to be less efficient than the Finite Difference Method.

• 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

• Kalasin, Surachate

Publisher

• Worcester Polytechnic Institute

Identifier

• 02D210M

Advisor

• Lew Yan Voon, Lok C.

Year

• 2002

Date created

• 2002-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright