ISBN-10:
0821821156
ISBN-13:
9780821821152
Pub. Date:
01/01/2000
Publisher:
American Mathematical Society
First Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform and Semiclassical Analysis / Edition 1

First Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform and Semiclassical Analysis / Edition 1

by Salvador Perez-Esteva, Carlos Villegas-Blas

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Overview

The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autonoma de Mexico (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kahler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research. This book is published in cooperation with Sociedad Matematica Mexicana.

Product Details

ISBN-13: 9780821821152
Publisher: American Mathematical Society
Publication date: 01/01/2000
Series: Conm Series , #260
Pages: 132
Product dimensions: 6.30(w) x 9.06(h) x (d)

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