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dc.contributor.authorDolbeault, Jean
dc.contributor.authorEsteban, Maria J.
dc.contributor.authorSéré, Eric
dc.date.accessioned2011-07-15T12:40:33Z
dc.date.available2011-07-15T12:40:33Z
dc.date.issued2000
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6702
dc.language.isoenen
dc.subjectminimizationen
dc.subjecteigenvaluesen
dc.subjectDirac operatorsen
dc.subject.ddc515en
dc.titleVariational Methods in Relativistic Quantum Mechanics: New Approach to the Computation of Dirac Eigenvaluesen
dc.typeCommunication / Conférence
dc.description.abstractenThe main goal of this paper is to describe some new variational methods for the characterization and computation of the eigenvalues and the eigenstates of Dirac operators. Our methods are all based on exact variational principles, both of min-max and of minimization types. The minimization procedure that we introduce is done in a particular set of functions satisfying a nonlinear constraint. Finally, we present several numerical methods that we have implemented in particular cases, in order to construct approximate solutions of that minimization problem.
dc.identifier.citationpages211-226en
dc.relation.ispartoftitleMathematical models and methods for ab initio quantum chemistryen
dc.relation.ispartofeditorDefranceschi, Mireille
dc.relation.ispartofeditorLe Bris, Claude
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate2000
dc.relation.ispartofpages246en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn3-540-67631en
dc.relation.conftitle4th International Conference on Industrial and Applied Mathematics (ICIAM 1999)en
dc.relation.confdate1999-07
dc.relation.confcityEdimbourgen
dc.relation.confcountryRoyaume-Unien


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