Geometric Quantization / Edition 2

by N. M. J. Woodhouse

Overview

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.

Product Details

ISBN-13:	9780198502708
Publisher:	Oxford University Press
Publication date:	12/04/1997
Series:	Oxford Mathematical Monographs
Edition description:	2ND
Pages:	320
Product dimensions:	9.10(w) x 6.10(h) x 0.70(d)

About the Author

Oxford University

Table of Contents

1. Symplectic Geometry2. Lagrangian and Hamiltonian Mechanics3. Symmetry4. Hamilton-Jacobi Theory5. Complex Polarizations6. Elementary Relativistic Systems7. Classical Fields8. Prequantization9. Quantization10. The Metaplectic Correction

Editorial Reviews

"Revised to simplify the presentation, provide additional examples, and correct errors in the First Edition." —American Mathematical Monthly

". . . the second edition clearly contains much that is new; in addition, the old material has been substantially rewritten and reorganized . . . . the arrangement of topics has been altered, so as to produce a more natural development from classical to quantum . . . . an attractive presentation of a dynamic subject." —P.L. Robinson, Mathematical Reviews

From the Publisher