Titlebook: Symbol Correspondences for Spin Systems; Pedro de M. Rios,Eldar Straume Book 2014 Springer International Publishing Switzerland 2014 Poiss

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Quantum Spin Systems and Their Operator Algebras,tion theory (some found within the list of references at the beginning of Chap. 2) and quantum theory of angular momentum (e.g. [13, 14, 16, 23, 46, 63, 65], some of these being textbooks in quantum mechanics which can also be used by the reader not too familiar with the subject as a whole). Our emp

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The Poisson Algebra of the Classical Spin System,ion below can be found in basic textbooks on classical mechanics and we refer to some of these, e.g. [1, 5, 34, 37, 48], for the reader not yet too familiar with the subject, or for further details, examples, etc. (Ref. [34] is more familiar to physicists, while the others are more mathematical and

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Beginning Asymptotic Analysis of Twisted Products,sted .-algebras are isomorphic for each finite ., we shall see in this chapter that only a subclass of symbol correspondence sequences yield Poisson dynamics in the asymptotic limit of high spin numbers (. → ∞). This subclass realizes Rieffel’s “strict deformation quantization” of the 2-sphere in re

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ull classification and detailed systematic presentation of sIn 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 detail