Symbol Correspondences for Spin Systems

• Main Authors: Rios, Pedro de M. (Author), Straume, Eldar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Differential geometry.; Quantum physics.; Non-associative Rings and Algebras.; Quantum Physics.; Topological Groups, Lie Groups.; Differential Geometry.

In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems. A detailed presentation of quantum spin-j systems, with emphasis on...

Table of Contents:

• Preface
• 1 Introduction
• 2 Preliminaries
• 3 Quantum Spin Systems and Their Operator Algebras
• 4 The Poisson Algebra of the Classical Spin System
• 5 Intermission
• 6 Symbol Correspondences for a Spin-j System
• 7 Multiplications of Symbols on the 2-Sphere
• 8 Beginning Asymptotic Analysis of Twisted Products
• 9 Conclusion
• Appendix
• Bibliography
• Index.