Coverart for item
The Resource Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book)

Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book)

Label
Symbol correspondences for spin systems
Title
Symbol correspondences for spin systems
Statement of responsibility
Pedro de M. Rios, Eldar Straume
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Rios, Pedro de M
Dewey number
530.15
Index
index present
LC call number
QC174.17.M35
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1946-
http://library.link/vocab/relatedWorkOrContributorName
Straume, Eldar
http://library.link/vocab/subjectName
  • Quantum theory
  • Lie groups
  • Mathematical physics
  • Mathematics
  • Non-associative Rings and Algebras
  • Quantum Physics
  • Topological Groups, Lie Groups
  • Differential Geometry
  • SCIENCE
  • SCIENCE
  • SCIENCE
Label
Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
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
Control code
SPR893479483
Dimensions
unknown
Extent
1 online resource (ix, 200 pages)
File format
unknown
Form of item
online
Isbn
9783319081977
Level of compression
unknown
Other control number
10.1007/978-3-319-08198-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
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
Control code
SPR893479483
Dimensions
unknown
Extent
1 online resource (ix, 200 pages)
File format
unknown
Form of item
online
Isbn
9783319081977
Level of compression
unknown
Other control number
10.1007/978-3-319-08198-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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