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Microlocal analysis, sharp spectral ...

Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.III,Magnetic Schrodinger operator 1

Record Type:	Electronic resources : Monograph/item
Title/Author:	Microlocal analysis, sharp spectral asymptotics and applications.by Victor Ivrii.
remainder title:	Magnetic Schrodinger operator 1
Author:	Ivrii, Victor.
Published:	Cham :Springer International Publishing :2019.
Description:	xxi, 729 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Microlocal analysis.
Online resource:	https://doi.org/10.1007/978-3-030-30537-6
ISBN:	9783030305376$q(electronic bk.)

Microlocal analysis, sharp spectral asymptotics and applications.III,Magnetic Schrodinger operator 1
Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.III,Magnetic Schrodinger operator 1[electronic resource] /Magnetic Schrodinger operator 1by Victor Ivrii. - Cham :Springer International Publishing :2019. - xxi, 729 p. :ill., digital ;24 cm.

Smooth theory in dimensions 2 and 3 -- Standard Theory -- 2D degenerating magnetic Schrodinger operator -- 2D magnetic Schrodinger near boundary -- Magnetic Schrodinger 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 Schrodinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrodinger and Dirac operators in smooth settings in dimensions 2 and 3.

ISBN: 9783030305376$q(electronic bk.)

Standard No.: 10.1007/978-3-030-30537-6doiSubjects--Topical Terms:

376869
Microlocal analysis.

LC Class. No.: QA299.6 / .I975 2019

Dewey Class. No.: 515.7242

Microlocal analysis, sharp spectral asymptotics and applications.III,Magnetic Schrodinger operator 1
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245 1 0 $a Microlocal analysis, sharp spectral asymptotics and applications. $n III, $p Magnetic Schrodinger operator 1 $h [electronic resource] / $c by Victor Ivrii.
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxi, 729 p. : $b ill., digital ; $c 24 cm.
505 0 $a Smooth theory in dimensions 2 and 3 -- Standard Theory -- 2D degenerating magnetic Schrodinger operator -- 2D magnetic Schrodinger near boundary -- Magnetic Schrodinger operator: short loops -- Dirac operator with strong magnetic field.
520 $a 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 Schrodinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrodinger and Dirac operators in smooth settings in dimensions 2 and 3.
650 0 $a Microlocal analysis. $3 376869
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650 0 $a Asymptotic expansions. $3 215351
650 0 $a Schrödinger operator. $3 852191
650 1 4 $a Analysis. $3 273775
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