Overview
- A contribute to bridge the gap between physics and mathematics
- Provides a mathematically rigorous approach to quantum mechanics
- Treats extensively arguments that are rarely discussed in similar books, such as quantum statistical physics and relativistic quantum field theory
- Enriched with historical material
- Includes supplementary material: sn.pub/extras
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Table of contents (27 chapters)
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Front Matter
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The Main Text
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Front Matter
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Supplementary Material
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Front Matter
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Keywords
About this book
This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features.
It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.
Reviews
“This is a text intended primarily for advanced undergraduate and graduate students in mathematics, and secondarily for physiscs students wanting an introduction to the modern mathematics utilized in quantum mechanics. It has an intentional algebraic flavor that provides a succinct means for comparison between quantum and classical machanics. … The reader could infer that quantum theory, with its axioms, is tidy and has a well-defined mathematical framework.” (Lawrence E. Thomas, Mathematical Reviews, July, 2015)
“This publication provides a quite interesting text book on quantum theory written having in mind advanced undergraduate or graduate students in mathematics, but which can also be a very nice reference text for physics students having an interest in the mathematical foundations of quantum theory.” (Bassano Vacchini, zbMATH 1315.81001, 2015)
Authors and Affiliations
About the author
Peter Bongaarts taught for many years theoretical and mathematical physics at the University of Leiden, the Netherlands
Bibliographic Information
Book Title: Quantum Theory
Book Subtitle: A Mathematical Approach
Authors: Peter Bongaarts
DOI: https://doi.org/10.1007/978-3-319-09561-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2015
Hardcover ISBN: 978-3-319-09560-8Published: 10 December 2014
Softcover ISBN: 978-3-319-37602-8Published: 10 September 2016
eBook ISBN: 978-3-319-09561-5Published: 01 December 2014
Edition Number: 1
Number of Pages: XXXII, 445
Number of Illustrations: 8 b/w illustrations
Topics: Quantum Physics, Mathematical Physics, Complex Systems, Mathematical Applications in the Physical Sciences, Statistical Physics and Dynamical Systems