Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
714
Utgivningsdatum
2019-09-25
Upplaga
1st ed. 2019
Förlag
Springer Nature Switzerland AG
Illustrationer
1 Illustrations, black and white; XXIII, 714 p. 1 illus.
Dimensioner
234 x 156 x 40 mm
Vikt
1203 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9783030305444

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrdinger Operator 2

av Victor Ivrii
Inbunden,  Engelska, 2019-09-25
2168
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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 Schrdinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrdinger and Dirac operators in non-smooth settings and in higher dimensions.
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Övrig information

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).

Innehållsförteckning

Non-smooth theory and higher dimensions.- Irregular coefficients in dimensions 2, 3.- Full-rank case.- Non-full-rank case.- 4D-Schrdinger with degenerating magnetic field.- 4D-Schrdinger Operator with the strong magnetic field.- Eigenvalue asymptotics for Schrdinger and dirac operators with the strong magnetic field.- Eigenvalue asymptotics: 2D case.- Eigenvalue asymptotics: 3D case.

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