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Microlocal analysis, sharp spectral ...

Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2

Record Type:	Electronic resources : Monograph/item
Title/Author:	Microlocal analysis, sharp spectral asymptotics and applications.by Victor Ivrii.
remainder title:	Magnetic Schrodinger operator 2
Author:	Ivrii, Victor.
Published:	Cham :Springer International Publishing :2019.
Description:	xxiii, 714 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Microlocal analysis.
Online resource:	https://doi.org/10.1007/978-3-030-30545-1
ISBN:	9783030305451$q(electronic bk.)

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2
Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2[electronic resource] /Magnetic Schrodinger operator 2by Victor Ivrii. - Cham :Springer International Publishing :2019. - xxiii, 714 p. :ill., digital ;24 cm.

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

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, II and III are applied to the Schrodinger and Dirac operators in non-smooth settings and in higher dimensions.

ISBN: 9783030305451$q(electronic bk.)

Standard No.: 10.1007/978-3-030-30545-1doiSubjects--Topical Terms:

376869
Microlocal analysis.

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

Dewey Class. No.: 515.7242

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2
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245 1 0 $a Microlocal analysis, sharp spectral asymptotics and applications. $n IV, $p Magnetic Schrodinger operator 2 $h [electronic resource] / $c by Victor Ivrii.
246 3 0 $a Magnetic Schrodinger operator 2
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxiii, 714 p. : $b ill., digital ; $c 24 cm.
505 0 $a Non-smooth theory and higher dimensions -- Irregular coefficients in dimensions 2, 3 -- Full-rank case -- Non-full-rank case -- 4D-Schrodinger with degenerating magnetic field -- 4D-Schrodinger Operator with the strong magnetic field -- Eigenvalue asymptotics for Schrodinger and dirac operators with the strong magnetic field -- Eigenvalue asymptotics: 2D case -- Eigenvalue asymptotics: 3D case.
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, II and III are applied to the Schrodinger and Dirac operators in non-smooth settings and in higher dimensions.
650 0 $a Microlocal analysis. $3 376869
650 0 $a Spectral theory (Mathematics) $3 182365
650 0 $a Asymptotic expansions. $3 215351
650 0 $a Schrodinger operator. $3 275658
650 1 4 $a Analysis. $3 273775
650 2 4 $a Mathematical Physics. $3 522725
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-30545-1
950 $a Mathematics and Statistics (Springer-11649)