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Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum

by Hughes, Sharon Marie

Abstract (Summary)
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.
Bibliographical Information:

Advisor:Matin Klaus; Peter Haskell; Beate Schmittmann; George Hagedorn

School:Virginia Polytechnic Institute and State University

School Location:USA - Virginia

Source Type:Master's Thesis

Keywords:mathematics

ISBN:

Date of Publication:11/14/2007

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