MARC Record from harvard_bibliographic_metadata

LEADER: 02953nam a22004575a 4500
001 013841427-0
005 20131206202322.0
008 130125s2002 xxu| s ||0| 0|eng d
020 $a9781475744958
020 $a9781475744958
020 $a9781441929617
024 7 $a10.1007/978-1-4757-4495-8$2doi
035 $a(Springer)9781475744958
040 $aSpringer
050 4 $aQA299.6-433
072 7 $aPBK$2bicssc
072 7 $aMAT034000$2bisacsh
082 04 $a515$223
100 1 $aMartinez, André,$eauthor.
245 13 $aAn Introduction to Semiclassical and Microlocal Analysis /$cby André Martinez.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2002.
300 $aVIII, 191 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aUniversitext,$x0172-5939
505 0 $aIntroduction -- Semiclassical Pseudodifferential Calculus -- Microlocalization -- Applications to the Solutions of Analytic Linear PDEs -- Complements: Symplectic Aspects -- Appendix: List of Formulae -- Bibliography -- Index -- List of Notations.
520 $aThis book presents most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard C? pseudodifferential calculus and the analytic microlocal analysis are developed, in a context which remains intentionally global so that only the relevant difficulties of the theory are encountered. The originality lies in the fact that the main features of analytic microlocal analysis are derived from a single and elementary a priori estimate. Various exercises illustrate the chief results of each chapter while introducing the reader to further developments of the theory. Applications to the study of the Schrödinger operator are also discussed, to further the understanding of new notions or general results by replacing them in the context of quantum mechanics. This book is aimed at non-specialists of the subject and the only required prerequisite is a basic knowledge of the theory of distributions. André Martinez is currently Professor of Mathematics at the University of Bologna, Italy, after having moved from France where he was Professor at Paris-Nord University. He has published many research articles in semiclassical quantum mechanics, in particular related to the Born-Oppenheimer approximation, phase-space tunneling, scattering theory and resonances.
650 20 $aQuantum theory.
650 24 $aManifolds and Cell Complexes (incl. Diff.Topology)
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 0 $aCell aggregation$xMathematics.
650 0 $aQuantum theory.
650 24 $aAnalysis.
776 08 $iPrinted edition:$z9781441929617
830 0 $aUniversitext.
988 $a20131119
906 $0VEN