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Bound States of the Magnetic Schröd...

Raymond, Nicolas,

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Bound States of the Magnetic Schrödinger Operator

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bound States of the Magnetic Schrödinger Operator/ Nicolas Raymond
Author:	Raymond, Nicolas,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2017,
Description:	1 online resource (394 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/169
Online resource:	https://www.ems-ph.org/img/books/raymond_mini.jpg
ISBN:	9783037196694

Bound States of the Magnetic Schrödinger Operator
Raymond, Nicolas,

Bound States of the Magnetic Schrödinger Operator[electronic resource] /Nicolas Raymond - Zuerich, Switzerland :European Mathematical Society Publishing House,2017 - 1 online resource (394 pages) - EMS Tracts in Mathematics (ETM)27.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics. Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach-Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of Magnetic Harmonic Approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions. Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences, or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers.

ISBN: 9783037196694

Standard No.: 10.4171/169doiSubjects--Topical Terms:

704075
Differential equations

Bound States of the Magnetic Schrödinger Operator
LDR:02091nmm a22003135a 4500 001 2233293
003 CH-001817-3
005 20161205234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20170101sz fot ||| 0|eng d
020 $a 9783037196694
024 7 0 $a 10.4171/169 $2 doi
035 $a 212-161205
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
072 7 $a PBCD $2 bicssc
084 $a 35-xx $a 49-xx $a 81-xx $2 msc
100 1 $a Raymond, Nicolas, $e author. $3 3481138
245 1 0 $a Bound States of the Magnetic Schrödinger Operator $h [electronic resource] / $c Nicolas Raymond
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2017
300 $a 1 online resource (394 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Tracts in Mathematics (ETM) $v 27
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics. Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach-Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of Magnetic Harmonic Approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions. Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences, or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Mathematical logic $2 bicssc $3 3481017
650 0 7 $a Partial differential equations $2 msc. $3 1597893
650 0 7 $a Calculus of variations and optimal control; optimization $2 msc $3 3480902
650 0 7 $a Quantum theory $3 704055
856 4 0 $u https://doi.org/10.4171/169
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/raymond_mini.jpg