Student Work
Variable-mass Hamiltonians
PubblicoThe 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
- Publisher
- Identifier
- 00D057M
- Advisor
- Year
- 2000
- Date created
- 2000-01-01
- Resource type
- Major
- Rights statement
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