The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory.
In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
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Table des matières
Introduction.- Semiclassical micrological analysis.- Local and microlocal semiclassical spectral asymptotics.A propos de l’auteur
VICTOR IVRII is a professor of mathematics at the University of Toronto. His areas of specialization are analysis, microlocal analysis, spectral theory, partial differential equations and applications to mathematical physics. He proved the Weyl conjecture in 1979, and together with Israel M. Sigal he justified the Scott correction term for heavy atoms and molecules in 1992. He is a Fellow of the Royal Society of Canada (since 1998) and of American Mathematical Society (since 2012).
Langue Anglais ● Format PDF ● Pages 889 ● ISBN 9783030305574 ● Taille du fichier 11.7 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2019 ● Téléchargeable 24 mois ● Devise EUR ● ID 7173117 ● Protection contre la copie DRM sociale
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