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dc.contributor.authorToloza, Julio Hugoen_US
dc.date.accessioned2014-03-14T20:20:14Z
dc.date.available2014-03-14T20:20:14Z
dc.date.issued2002-12-11en_US
dc.identifier.otheretd-12132002-163620en_US
dc.identifier.urihttp://hdl.handle.net/10919/30072
dc.description.abstractWe study the behavior of truncated Rayleigh-Schröodinger series for the low-lying eigenvalues of the time-independent Schröodinger equation, when the Planck's constant is considered in the semiclassical limit. Under certain hypotheses on the potential energy, we prove that, for any given small value of the Planck's constant, there is an optimal truncation of the series for the approximate eigenvalues, such that the difference between an approximate and actual eigenvalue is smaller than an exponentially small function of the Planck's constant. We also prove the analogous results concerning the eigenfunctions.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartthesis.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectexponentially accurate asymptoticsen_US
dc.titleExponentially Accurate Error Estimates of Quasiclassical Eigenvaluesen_US
dc.typeDissertationen_US
dc.contributor.departmentPhysicsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplinePhysicsen_US
dc.contributor.committeechairHagedorn, George A.en_US
dc.contributor.committeememberKohler, Werner E.en_US
dc.contributor.committeememberSchmittmann, Beateen_US
dc.contributor.committeememberKlaus, Martinen_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12132002-163620/en_US
dc.contributor.committeecochairChang, Lay Namen_US
dc.date.sdate2002-12-13en_US
dc.date.rdate2003-12-16
dc.date.adate2002-12-16en_US


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