| Type of Document |
Master's Thesis |
| Author |
Bowman, Adam Shoresworth
|
| Author's Email Address |
asbowman@vt.edu |
| URN |
etd-12172010-164613 |
| Title |
The Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensions |
| Degree |
Master of Science |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Hagedorn, George A. |
Committee Chair |
| Elgart, Alexander |
Committee Member |
| Valeyev, Eduard Faritovich |
Committee Member |
|
| Keywords |
- Born-Oppenheimer
- Triatomic Molecules
- Multiple Scales
|
| Date of Defense |
2010-12-08 |
| Availability |
unrestricted |
Abstract
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 ℓ≤ kε-3/4 for k > 0. Here the small parameter ε is the fourth root of the ratio of the electron mass to an average nuclear mass.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Bowman_AS_T_2010.pdf |
506.92 Kb |
00:02:20 |
00:01:12 |
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00:00:31 |
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