Title page for ETD etd-11012007-130745


Type of Document Dissertation
Author Hughes, Sharon Marie
URN etd-11012007-130745
Title Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Hagedorn, George A. Committee Chair
Haskell, Peter E. Committee Member
Klaus, Martin Committee Member
Schmittmann, Beate Committee Member
Keywords
  • Born-Oppenheimer Approximation
  • Semiclassical Approximation
  • Diatomic Molecules
Date of Defense 2007-10-29
Availability unrestricted
Abstract
Semiclassical and Born-Oppenheimer approximations are used to provide uniform error bounds for the energies of diatomic molecules for bounded vibrational quantum number n and large angular momentum quantum number l. Specifically, results are given when (l+1)<κε-3/2. Explicit formulas for the approximate energies are also given. Numerical comparisons for the H2+ and HD+ molecules are presented.
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