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The Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensions

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 â ≤ kε<sup>-3/4</sup> for k > 0. Here the small parameter ε is the fourth root of the ratio of the electron mass to an average nuclear mass. / Master of Science

Identiferoai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/36249
Date12 January 2011
CreatorsBowman, Adam Shoresworth
ContributorsMathematics, Hagedorn, George A., Valeyev, Eduard Faritovich, Elgart, Alexander
PublisherVirginia Tech
Source SetsVirginia Tech Theses and Dissertation
Detected LanguageEnglish
TypeThesis
Formatapplication/pdf
RightsIn Copyright, http://rightsstatements.org/vocab/InC/1.0/
RelationBowman_AS_T_2010.pdf

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