Authors:
- Presents a unified viewpoint for quantum physics, both in quantum mechanics and quantum field theory
- Clarifies physical meanings of inequivalent representations of CCR or CAR
- Gives representation–theoretical analyses to infinite renormalizations in some quantum field models
- Includes representation–theoretical characterizations for fundamental quantities such as masses and charges
- Contains mathematical descriptions in detail throughout the main text
Part of the book series: Mathematical Physics Studies (MPST)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“The monograph under review gives a perspective on the various realizations of the canonical commutation/anti-commutation relations with finitely or infinitely many degrees of freedom. This is a welcome addition to the literature in this research area, which emphasizes the applications to quantum physics.” (Daniel Beltiţă, Mathematical Reviews, October, 2022)
Authors and Affiliations
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Department of Mathematics, Hokkaido University, Sapporo, Japan
Asao Arai
Bibliographic Information
Book Title: Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations
Book Subtitle: Representation-theoretical Viewpoint for Quantum Phenomena
Authors: Asao Arai
Series Title: Mathematical Physics Studies
DOI: https://doi.org/10.1007/978-981-15-2180-5
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2020
Hardcover ISBN: 978-981-15-2179-9Published: 05 February 2020
Softcover ISBN: 978-981-15-2182-9Published: 05 February 2021
eBook ISBN: 978-981-15-2180-5Published: 04 February 2020
Series ISSN: 0921-3767
Series E-ISSN: 2352-3905
Edition Number: 1
Number of Pages: XIX, 493
Number of Illustrations: 6 b/w illustrations
Topics: Mathematical Physics, Quantum Physics, Functional Analysis