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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

eBook - Magnetic Schrödinger Operator 2
SPRINGER
ISBN/EAN: 9783030305451
Umbreit-Nr.: 7959898

Sprache: Englisch
Umfang: 0 S., 8.23 MB
Format in cm:
Einband: Keine Angabe

Erschienen am 11.09.2019
Auflage: 1/2019


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  • Zusatztext

    • <p>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.&nbsp;In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and&nbsp;multiparticle quantum theory.<br></p><p>In this volume the methods developed in Volumes I, II and III are applied to the&nbsp;Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.<br></p><p><br></p><p><br></p>

  • Kurztext

    • 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 &quote;small&quote; domains to consider domains with singularities of different kinds.&nbsp;In turn, the general theory (results and methods developed) is applied to the Magnetic Schrodinger operator, miscellaneous problems, and&nbsp;multiparticle quantum theory.In this volume the methods developed in Volumes I, II and III are applied to the&nbsp;Schrodinger and Dirac operators in non-smooth settings and in higher dimensions.

  • Autorenportrait
    • VICTOR IVRII is a professor of mathematics at the University of Toronto. His areas of&nbsp;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).