Symbol Correspondences for Spin Systems

Name: Symbol Correspondences for Spin Systems
Brand: Birkhauser
SKU: 9783319081977
Price: 1147 CZK
Availability: InStock

Autor: Pedro de M. Rios, Eldar Straume

Jazyk:

Vazba: Pevná

Vydavatel: Birkhauser

Dostupnost: Skladem u dodavatele

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1 147 Kč

In mathematical physics, the correspondence between quantum and classical mechanics is a central top...

Informace o knize

Autor

Pedro de M. Rios, Eldar Straume

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2014

Stránek

200

EAN

9783319081977

ISBN

3319081977

Enbook ID

02723719

Vydavatel

Birkhauser

Hmotnost

4439

Rozměry

155 x 235 x 17

Kompletní popis

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.

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Symbol Correspondences for Spin Systems

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