Symbol Correspondences for Spin Systems PDF
By:Pedro de M. Rios,Eldar Straume
Published on 2014-10-10 by Springer
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 the SO(3)-invariant decomposition of their operator algebras, is first followed by an introduction to the Poisson algebra of the classical spin system and then by a similarly detailed examination of its SO(3)-invariant decomposition. The book next proceeds with a detailed and systematic study of general quantum-classical symbol correspondences for spin-j systems and their induced twisted products of functions on the 2-sphere. This original systematic presentation culminates with the study of twisted products in the asymptotic limit of high spin numbers. In the context of spin systems it shows how classical mechanics may or may not emerge as an asymptotic limit of quantum mechanics. The book will be a valuable guide for researchers in this field and its self-contained approach also makes it a helpful resource for graduate students in mathematics and physics.
This Book was ranked at 35 by Google Books for keyword mathematics symbol.
Book ID of Symbol Correspondences for Spin Systems's Books is HvrHBAAAQBAJ, Book which was written byPedro de M. Rios,Eldar Straumehave ETAG "hUtUv7W99zI"
Book which was published by Springer since 2014-10-10 have ISBNs, ISBN 13 Code is 9783319081984 and ISBN 10 Code is 3319081985
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Book which have "200 Pages" is Printed at BOOK under CategoryMathematics
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