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Original Essays | September 17, 2014

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My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »
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An Introduction to Semiclassical and Microlocal Analysis (CMS Books in Mathematics)

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An Introduction to Semiclassical and Microlocal Analysis (CMS Books in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book presents most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard C8 pseudodifferential calculus and the analytic microlocal analysis is 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. This book is aimed at non-specialists of the subject and the only required prerequisite is a basic knowledge of the theory of distributions.

Synopsis:

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.

Table of Contents

Introduction * Semiclassical Pseudodifferential Calculus * Microlocalization * Applications to the Solutions of Analytic Linear PDEs * Complements: Symplectic Aspects * Appendix: List of Formulae * Bibliography * Index * List of Notations

Product Details

ISBN:
9780387953441
Author:
Martinez, Andre
Publisher:
Springer
Author:
Martinez, A
Location:
New York, NY
Subject:
Quantum Theory
Subject:
Mathematical Physics
Subject:
Microlocal analysis.
Subject:
Thâeorie quantique
Subject:
Probability & Statistics - General
Subject:
Analyse microlocale
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Quantum physics.
Subject:
Physics-Math
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Subject:
Cell aggregation_xMathematics
Copyright:
Edition Description:
Book
Series:
Universitext
Series Volume:
no. 8370
Publication Date:
20020102
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
199
Dimensions:
235 x 155 mm 420 gr

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Related Subjects


Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Quantum Mechanics

An Introduction to Semiclassical and Microlocal Analysis (CMS Books in Mathematics) New Hardcover
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$87.75 In Stock
Product details 199 pages Springer - English 9780387953441 Reviews:
"Synopsis" by , This book presents most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard C8 pseudodifferential calculus and the analytic microlocal analysis is 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. This book is aimed at non-specialists of the subject and the only required prerequisite is a basic knowledge of the theory of distributions.
"Synopsis" by , 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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