Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum
Hughes, Sharon Marie
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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)<ÎºÎµ-3/2. Explicit formulas for the approximate energies are also given. Numerical comparisons for the H2+ and HD+ molecules are presented.
- Doctoral Dissertations