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The geometric approach to quantization was introduced by Kostant and Souriau more that twenty 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 also proved useful in pure mathematics, noteably in representation theory, with the most recent applications occurring in conformal field theory and in the Jones-Witten theory of knots. For the second edition of this successful monograph it has been completely revised and the presentation has been simplified. A large number of examples have been added and the material on field theory has been expanded.
This monograph investigates the geometric approach to quantization, exploring the mathematical framework that bridges classical and quantum mechanical systems. Nicholas J. Woodhouse, a lecturer in mathematics, provides a rigorous examination of the quantization process originally developed by Kostant and Souriau. The text synthesizes theoretical developments in representation theory, conformal field theory, and knot theory to demonstrate the utility of geometric methods in modern physics.
What You Will Find
Experts recognize this work as a foundational text for researchers and graduate students in mathematical physics. Readers frequently note the high level of technical density, which requires a strong background in differential geometry and quantum mechanics to fully grasp the presented arguments.
Page Count:
316
Publication Date:
1981-03-05
Publisher:
Oxford University Press
ISBN-10:
0198535287
ISBN-13:
9780198535287
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