Overview
- Bridges the physical applications of heat kernel theories with the mathematical foundations
- Some material, e.g. non-linear spectral problems, appears for the first time in a monograph form
- Examples from the forefront of current research (quantum solitons, noncommutativity, etc) worked out in detail
- Includes supplementary material: sn.pub/extras
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (12 chapters)
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Front Matter
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The Basics
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Front Matter
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Spectral Geometry
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Front Matter
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Applications
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Front Matter
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Problem Solving
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Front Matter
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Problem solving
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Back Matter
Keywords
About this book
Reviews
From the reviews:
“The authors have tried to make the book as self-contained as possible with the declared purpose that it should be useful for both active researchers and graduate students. The inclusion in the book of more than a hundred exercises with their solutions makes it indeed possible to use the material in it for lecture courses on physical applications of the spectral theory. … This is a good book, unique in several ways, clearly written … and also a very useful reference for practical purposes.” (Emili Elizalde, Mathematical Reviews, Issue 2012 f)
“This book represents an introduction into the theory of spectral functions and their applications to quantum field theory (QFT). … more than a hundred exercises with their solutions help the reader to understand better the topic and makes possible the use of this book in lecture courses on physical applications of the spectral theory. … Noncommutative theories are a beautiful example of how physics and mathematics have a mutual influence. Each chapter contains exercises, which are integer part of the book.” (Marian Ioan Munteanu, Zentralblatt MATH, Vol. 1230, 2012)
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Operators, Geometry and Quanta
Book Subtitle: Methods of Spectral Geometry in Quantum Field Theory
Authors: Dmitri Fursaev, Dmitri Vassilevich
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-94-007-0205-9
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2011
Hardcover ISBN: 978-94-007-0204-2Published: 26 June 2011
Softcover ISBN: 978-94-007-3663-4Published: 02 August 2013
eBook ISBN: 978-94-007-0205-9Published: 25 June 2011
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XVI, 288
Additional Information: 330 p., 5 images, 1st edition
Topics: Mathematical Methods in Physics, Global Analysis and Analysis on Manifolds, Quantum Field Theories, String Theory