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This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical, way and is mainly addressed to non-specialists in the subject. It is based on lectures taught by the author over several years, and includes many exercises providing outlines of useful applications of the semi-classical theory.
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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.
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An Introduction to Semiclassical and Microlocal Analysis (Universitext)
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Springer (edition 2002), 2002
ISBN 10: 0387953442
ISBN 13: 9780387953441
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Hardcover. Zustand: Good. 2002. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Bestandsnummer des Verkäufers 0387953442-11-1
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An Introduction to Semiclassical and Microlocal Analysis (Universitext)
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An Introduction to Semiclassical and Microlocal Analysis
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An Introduction to Semiclassical and Microlocal Analysis
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An Introduction to Semiclassical and Microlocal Analysis
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An Introduction to Semiclassical and Microlocal Analysis (Universitext)
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Introduction to Semiclassical and Microlocal Analysis
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An Introduction to Semiclassical and Microlocal Analysis (Universitext)
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An Introduction to Semiclassical and Microlocal Analysis (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 2002
ISBN 10: 0387953442
ISBN 13: 9780387953441
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Hardcover. Zustand: new. Hardcover. This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical way and is mainly addressed to non-specialists in the subject. Both the standard Ci pseudodifferential calculus and the analytic microlocal analysis are developed, while the author replaces the delicate local theory with a more straightforward global theory. The book is based on lectures taught by the author over several years. Many exercises provide outlines of useful applications of the semi-classical theory and the only prerequisite required is a basic knowledge of the theory of distributions. Semi-classical analysis has become a mathematical tool for dealing with a variety of asymptotic problems. This book provides a presentation of the theory in its traditional setting motivated by quantum mechanics. Both the standard C8 pseudodifferential calculus and the analytic microlocal analysis are developed. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780387953441
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