Back to results
Virginia Tech
The Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensions
Abstract
dc:description.abstractWe 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 â ≤ kε<sup>-3/4</sup> for k > 0. Here the small parameter ε is the fourth root of the ratio of the electron mass to an average nuclear mass.
Degree
thesis:*- Name thesis:degree_name
- Master of Science
- Level thesis:degree_level
- masters
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 2010
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Bowman, Adam Shoresworth
- Chair dc:contributor.committeechair
-
- Hagedorn, George A.
- Committee members dc:contributor.committeemember
-
- Valeyev, Eduard Faritovich
- Elgart, Alexander
Subjects
dc:subject × 3Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-12172010-164613
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/36249