An Introduction to Semiclassical and Microlocal Analysis

Name: An Introduction to Semiclassical and Microlocal Analysis
Brand: Springer, Berlin
SKU: 9781441929617
Price: 349.26 RON
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Autor: Andre Martinez

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Editura: Springer, Berlin

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This book presents most of the techniques used in the microlocal treatment of semiclassical problems...

Informații despre carte

Autor

Andre Martinez

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

191

EAN

9781441929617

ISBN

1441929614

Enbook ID

01421688

Editura

Springer, Berlin

Greutate

303

Dimensiuni

155 x 235 x 11

Descriere completă

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

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