Symbol Correspondences for Spin Systems - Couverture souple

Rios, Pedro De M.; Straume, Eldar

Couverture souple

ISBN 10 : 3319358111 ISBN 13 : 9783319358116

Editeur : Birkhäuser, 2016

Synopsis

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.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 3319358111
• ISBN 13: 9783319358116
• Reliure: Broché
• Nombre de pages: 212
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne