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Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics

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 var...

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Detalles Bibliográficos
Autor principal: Ivrii, Victor
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-30557-4
http://cds.cern.ch/record/2691347
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author Ivrii, Victor
author_facet Ivrii, Victor
author_sort Ivrii, Victor
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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publishDate 2019
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spelling cern-26913472021-04-21T18:19:28Zdoi:10.1007/978-3-030-30557-4http://cds.cern.ch/record/2691347engIvrii, VictorMicrolocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptoticsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:26913472019
spellingShingle Mathematical Physics and Mathematics
Ivrii, Victor
Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title_full Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title_fullStr Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title_full_unstemmed Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title_short Microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
title_sort microlocal analysis, sharp spectral asymptotics and applications i: semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-30557-4
http://cds.cern.ch/record/2691347
work_keys_str_mv AT ivriivictor microlocalanalysissharpspectralasymptoticsandapplicationsisemiclassicalmicrolocalanalysisandlocalandmicrolocalsemiclassicalasymptotics