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Semiclassical Analysis
     

Semiclassical Analysis

by Maciej Zworski
 

ISBN-10: 0821883208

ISBN-13: 9780821883204

Pub. Date: 08/24/2012

Publisher: American Mathematical Society

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject. —Alejandro Uribe, University of Michigan Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics

Overview

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject. —Alejandro Uribe, University of Michigan Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature.

Product Details

ISBN-13:
9780821883204
Publisher:
American Mathematical Society
Publication date:
08/24/2012
Series:
Graduate Studies in Mathematics Series , #138
Pages:
431
Product dimensions:
7.10(w) x 10.20(h) x 1.10(d)

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