Title page for ETD etd-12172010-164613


Type of Document Master's Thesis
Author Bowman, Adam Shoresworth
Author's Email Address asbowman@vt.edu
URN etd-12172010-164613
Title The Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensions
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Hagedorn, George A. Committee Chair
Elgart, Alexander Committee Member
Valeyev, Eduard Faritovich Committee Member
Keywords
  • Born-Oppenheimer
  • Triatomic Molecules
  • Multiple Scales
Date of Defense 2010-12-08
Availability unrestricted
Abstract
We study the Born-Oppenheimer approximation for a symmetric linear triatomic molecule in two space dimensions. We compute energy levels up to errors of order ε5, uniformly for three bounded vibrational quantum numbers n1, n2, and n3; and nuclear angular momentum quantum numbers ℓ≤ kε-3/4 for k > 0. Here the small parameter ε is the fourth root of the ratio of the electron mass to an average nuclear mass.
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