Victor Ivrii
Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV
Magnetic Schrödinger Operator 2
Paperback Engels 2020 9783030305475Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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 methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
Specificaties
ISBN13:9783030305475
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Lezersrecensies
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Inhoudsopgave
Non-smooth theory and higher dimensions.- Irregular coefficients in dimensions 2, 3.- Full-rank case.- Non-full-rank case.- 4D-Schrödinger with degenerating magnetic field.- 4D-Schrödinger Operator with the strong magnetic field.- Eigenvalue asymptotics for Schrödinger and dirac operators with the strong magnetic field.- Eigenvalue asymptotics: 2D case.- Eigenvalue asymptotics: 3D case.
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