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Field name	Details
Dewey Class	515
Title	An Introduction to Semiclassical and Microlocal Analysis ([EBook] /) / by André Martinez.
Author	Martinez, André
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2002.
Physical Details	VIII, 191 p. : online resource.
Series	Universitext 0172-5939
ISBN	9781475744958
Summary Note	This 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.:
Contents note	1 Introduction -- 2 Semiclassical Pseudodifferential Calculus -- 3 Microlocalization -- 4 Applications to the Solutions of Analytic Linear PDEs -- 5 Complements: Symplectic Aspects -- 6 Appendix: List of Formulae -- List of Notation.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-4495-8
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Complex manifolds . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematical analysis . Mathematics . Quantum Physics . Authors: Martinez, André . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515 .

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An Introduction to Semiclassical and Microlocal Analysis

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