| Type of Document |
Dissertation |
| Author |
Hughes, Sharon Marie
|
| URN |
etd-11012007-130745 |
| Title |
Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Hagedorn, George A. |
Committee Chair |
| Haskell, Peter E. |
Committee Member |
| Klaus, Martin |
Committee Member |
| Schmittmann, Beate |
Committee Member |
|
| Keywords |
- Born-Oppenheimer Approximation
- Semiclassical Approximation
- Diatomic Molecules
|
| Date of Defense |
2007-10-29 |
| Availability |
unrestricted |
Abstract
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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
SMH_phd.pdf |
272.43 Kb |
00:01:15 |
00:00:38 |
00:00:34 |
00:00:17 |
00:00:01 |
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