Faculty Advisor

Lew Yan Voon, Lok C.

Abstract

The objective of this project is to derive new constraints on the properties of a quantum system containing a particle with a spatially-dependent effective mass. The systems studied are the finite square well and the spherical quantum dot. The transcendental energy equations were obtained from a general Hamiltonian. Next, the Heisenberg uncertainty relation was explicitly calculated for the first time. A key result is that the Heisenberg Uncertainty Principle is violated for all the Hamiltonians.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2000

Major

Physics

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Physics

Advisor Program

Physics

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