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Microlocal analysis, sharp spectral ...

Ivrii, Victor.

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Microlocal analysis, sharp spectral asymptotics and applications.. V,. Applications to quantum theory and miscellaneous problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Microlocal analysis, sharp spectral asymptotics and applications./ by Victor Ivrii.
Author:	Ivrii, Victor.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xxiv, 739 p. :ill., digital ;24 cm.
[NT 15003449]:	No magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law.
Contained By:	Springer eBooks
Subject:	Microlocal analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-30561-1
ISBN:	9783030305611

Microlocal analysis, sharp spectral asymptotics and applications.. V,. Applications to quantum theory and miscellaneous problems
Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.V,Applications to quantum theory and miscellaneous problems[electronic resource] /by Victor Ivrii. - Cham :Springer International Publishing :2019. - xxiv, 739 p. :ill., digital ;24 cm.

No magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law.

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, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

ISBN: 9783030305611

Standard No.: 10.1007/978-3-030-30561-1doiSubjects--Topical Terms:

628096
Microlocal analysis.

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

Dewey Class. No.: 515.7242

Microlocal analysis, sharp spectral asymptotics and applications.. V,. Applications to quantum theory and miscellaneous problems
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100 1 $a Ivrii, Victor. $3 3414431
245 1 0 $a Microlocal analysis, sharp spectral asymptotics and applications. $n V, $p Applications to quantum theory and miscellaneous problems $h [electronic resource] / $c by Victor Ivrii.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxiv, 739 p. : $b ill., digital ; $c 24 cm.
505 0 $a No magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law.
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, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
650 0 $a Microlocal analysis. $3 628096
650 0 $a Spectral theory (Mathematics) $3 524915
650 0 $a Asymptotic expansions. $3 526123
650 0 $a Quantum theory. $3 516552
650 1 4 $a Analysis. $3 891106
650 2 4 $a Mathematical Physics. $3 1542352
710 2 $a SpringerLink (Online service) $3 836513
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856 4 0 $u https://doi.org/10.1007/978-3-030-30561-1
950 $a Mathematics and Statistics (Springer-11649)