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.

• 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

• Kennedy, Jon Christopher

Publisher

• Worcester Polytechnic Institute

Identifier

• 00D057M

Advisor

• Lew Yan Voon, Lok C.

Year

• 2000

Date created

• 2000-01-01

Resource type

• Major Qualifying Project

Major

• Physics

Rights statement

• In Copyright