Student Work

The hydrogen atom in a fractional-dimensional space

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The theory of non-integer dimensionality is studied with the aim of testing its validity in real situations. The study is accomplished through rederivation of Stillinger's non-integer D-space formalism. The theory is then applied to both impurities and excitons in bulk semiconductors. Dimensional behavior in both the valence and conduction bands is studied and the theory is found to be very self-consistent. The theory is used to derive a new way of characterizing deep impurity levels.

  • 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
  • 99D052M
Advisor
Year
  • 1999
Date created
  • 1999-01-01
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