Overview
Presents the SO(3)-invariant decomposition of the operator algebra of spin systems and of the Poisson algebra on the two sphere
Provides a full classification and detailed systematic presentation of symbol correspondences for spin systems and of general twisted products of symbols on the two sphere
Studies the high spin number asymptotic limit of symbol correspondence sequences and twisted products
Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
Keywords
About this book
Reviews
From the book reviews:
“This book constitutes an interesting and highly useful monograph devoted to symbol correspondences, that will help the reader to better understand the existing relation between classical and quantum mechanics. For the particular case of physicists, this work will clarify the mathematical context and formalism that is not usually presented with such an amount of detail in other books on the subject. … This book is highly recommended to the specialist as well as to the non-specialist interested on spin systems.” (Rutwig Campoamor-Stursberg, zbMATH, Vol. 1305, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: Symbol Correspondences for Spin Systems
Authors: Pedro de M. Rios, Eldar Straume
DOI: https://doi.org/10.1007/978-3-319-08198-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08197-7Published: 27 October 2014
Softcover ISBN: 978-3-319-35811-6Published: 23 August 2016
eBook ISBN: 978-3-319-08198-4Published: 10 October 2014
Edition Number: 1
Number of Pages: IX, 200
Topics: Non-associative Rings and Algebras, Quantum Physics, Topological Groups, Lie Groups, Differential Geometry