Overview
- A major paradigm shift in how the art of functional integration is practiced
- Will prove valuable to a broad audience of graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics
- Offers insight into contemporary research topics that cannot be found elsewhere in the textbook literature
- Includes exercises in most chapters
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (11 chapters)
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Front Matter
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Stochastic Theory
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Front Matter
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Quantum Field Theory
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Front Matter
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Back Matter
Keywords
About this book
This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures.
The modern treatment used by the author is an attempt to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond.
A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration; prerequisites consist mostly of some basic knowledge of quantum mechanics.
Reviews
From the reviews:
“This book is about the formulation and methodology associated with functional integration. … The present book of Klauder will be quite helpful for theoretical physicists willing to learn the main classical issues and difficulties of functional integration. Mathematicians and, in particular, probabilists should appreciate seeing how some of ‘their tools’ are used in quantum physics.” (Jean-Claude Zambrini, Mathematical Reviews, Issue 2012 c)Authors and Affiliations
Bibliographic Information
Book Title: A Modern Approach to Functional Integration
Authors: John R. Klauder
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-4791-9
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-0-8176-4790-2Published: 17 November 2010
eBook ISBN: 978-0-8176-4791-9Published: 08 November 2010
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XVI, 282
Number of Illustrations: 9 b/w illustrations
Topics: Measure and Integration, Quantum Physics, Functional Analysis, Theoretical, Mathematical and Computational Physics, Several Complex Variables and Analytic Spaces, Applications of Mathematics