Hughes, Sharon Marie2014-03-142014-03-142007-10-29etd-11012007-130745http://hdl.handle.net/10919/29423Semiclassical 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 H+₂ and HD+ molecules are presented.In CopyrightBorn-Oppenheimer ApproximationSemiclassical ApproximationDiatomic MoleculesDissertationhttp://scholar.lib.vt.edu/theses/available/etd-11012007-130745/