An Introduction to Semiclassical and Microlocal Analysis

Softcover Nachdruck of the original 1. Auflage 2002
ISBN: 978-1-4419-2961-7
Verlag: Springer

Buch, Englisch, 191 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 318 g

Reihe: Universitext

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Bach, André

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

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.

Über Autor(innen)

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.