Nicholas Michael John Woodhouse's Books

Geometric Quantization

By: Nicholas Michael John Woodhouse

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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.

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Page Count

324

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Oxford University Press

Published Date

ISBN 10

0198502702

ISBN 13

9780198502708

Integrability, Self-duality, and Twistor Theory

By: Lionel J. Mason,Nicholas Michael John Woodhouse

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Integrability, Self-duality, and Twistor Theory

By: Lionel J. Mason,Nicholas Michael John Woodhouse

Many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection. For example, the Korteweg-de Vries and non-linear Schrodinger equations are reductions of the self-dual Yang-Mills equation. This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems. It supports two central theories: that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory provides a uniform geometric framework for the study of Backlund transformations, the inverse scattering method, and other such general constructions of integrability theory. The book will be useful to researchers and graduate students in mathematical physics.

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384

Publisher

Oxford University Press

Published Date

ISBN 10

0198534981

ISBN 13

9780198534983

Integrable Systems

Twistors, Loop Groups, and Riemann Surfaces

By: N. J. Hitchin,G. B. Segal,R. S. Ward

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Integrable Systems

Twistors, Loop Groups, and Riemann Surfaces

By: N. J. Hitchin,G. B. Segal,R. S. Ward

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The authors are internationally renowned both as researchers and expositors, and the book is written in an informal and accessible style.

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Page Count

147

Publisher

Oxford University Press

Published Date

ISBN 10

0198504217

ISBN 13

9780198504214

Book's by Nicholas Michael John Woodhouse

Geometric Quantization

Geometric Quantization

Integrability, Self-duality, and Twistor Theory

Integrability, Self-duality, and Twistor Theory

Integrable Systems

Integrable Systems

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