02510nmm a2200349 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001700139245010200156250001700258260004800275300003300323505007500356653002200431653002000453653002600473653002000499653002700519653002800546653005500574653001300629710003400642041001900676989003800695490001700733856007200750082000800822520133000830EB000631899EBX0100000000000000048498100000000000000.0cr|||||||||||||||||||||140122 ||| eng a97814757449581 aBach, André00aAn Introduction to Semiclassical and Microlocal AnalysishElektronische Ressourcecby André Bach a1st ed. 2002 aNew York, NYbSpringer New Yorkc2002, 2002 aVIII, 191 pbonline resource0 aSymplectic Aspects -- 6 Appendix: List of Formulae -- List of Notation aComplex manifolds aQuantum Physics aMathematical analysis aQuantum physics aAnalysis (Mathematics) aManifolds (Mathematics) aManifolds and Cell Complexes (incl. Diff.Topology) aAnalysis2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aUniversitext uhttps://doi.org/10.1007/978-1-4757-4495-8?nosfx=yxVerlag3Volltext0 a515 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