The Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensions

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dc.contributor.authorBowman, Adam Shoresworthen
dc.contributor.committeechairHagedorn, George A.en
dc.contributor.committeememberValeyev, Eduard Faritovichen
dc.contributor.committeememberElgart, Alexanderen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:50:12Zen
dc.date.adate2011-01-12en
dc.date.available2014-03-14T20:50:12Zen
dc.date.issued2010-12-08en
dc.date.rdate2011-01-12en
dc.date.sdate2010-12-17en
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.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-12172010-164613en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12172010-164613/en
dc.identifier.urihttp://hdl.handle.net/10919/36249en
dc.publisherVirginia Techen
dc.relation.haspartBowman_AS_T_2010.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBorn-Oppenheimeren
dc.subjectTriatomic Moleculesen
dc.subjectMultiple Scalesen
dc.titleThe Born-Oppenheimer Approximation for Triatomic Molecules with Large Angular Momentum in Two Dimensionsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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