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Microlocal Analysis, Sharp Spectral ...
~
Ivrii, Victor.
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III = Magnetic Schrödinger Operator 1 /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III/ by Victor Ivrii.
Reminder of title:
Magnetic Schrödinger Operator 1 /
Author:
Ivrii, Victor.
Description:
XXI, 729 p. 1 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Mathematical analysis. -
Online resource:
https://doi.org/10.1007/978-3-030-30537-6
ISBN:
9783030305376
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III = Magnetic Schrödinger Operator 1 /
Ivrii, Victor.
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III
Magnetic Schrödinger Operator 1 /[electronic resource] :by Victor Ivrii. - 1st ed. 2019. - XXI, 729 p. 1 illus.online resource.
Smooth theory in dimensions 2 and 3 -- Standard Theory -- 2D degenerating magnetic Schrödinger operator -- 2D magnetic Schrödinger near boundary -- Magnetic Schrödinger operator: short loops -- Dirac operator with strong magnetic field.
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 and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.
ISBN: 9783030305376
Standard No.: 10.1007/978-3-030-30537-6doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III = Magnetic Schrödinger Operator 1 /
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Smooth theory in dimensions 2 and 3 -- Standard Theory -- 2D degenerating magnetic Schrödinger operator -- 2D magnetic Schrödinger near boundary -- Magnetic Schrödinger operator: short loops -- Dirac operator with strong magnetic field.
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