Overview
- 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)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
Keywords
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
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