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Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum

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dc.contributor.authorHughes, Sharon Marieen
dc.contributor.committeechairHagedorn, George A.en
dc.contributor.committeememberKlaus, Martinen
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.committeememberSchmittmann, Beateen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:17:50Zen
dc.date.adate2007-11-14en
dc.date.available2014-03-14T20:17:50Zen
dc.date.issued2007-10-29en
dc.date.rdate2010-10-08en
dc.date.sdate2007-11-01en
dc.description.abstractSemiclassical 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 H+₂ and HD+ molecules are presented.en
dc.description.degreePh. D.en
dc.identifier.otheretd-11012007-130745en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11012007-130745/en
dc.identifier.urihttp://hdl.handle.net/10919/29423en
dc.publisherVirginia Techen
dc.relation.haspartSMH_phd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBorn-Oppenheimer Approximationen
dc.subjectSemiclassical Approximationen
dc.subjectDiatomic Moleculesen
dc.titleBorn-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentumen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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