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)
Resource Information
The item Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 spinj 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 quantumclassical symbol correspondences for spinj systems and their induced twisted products of functions on the 2sphere. 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 selfcontained approach also makes it a helpful resource for graduate students in mathematics and physics
 Language
 eng
 Extent
 1 online resource (ix, 200 pages)
 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 Spinj System
 7 Multiplications of Symbols on the 2Sphere
 8 Beginning Asymptotic Analysis of Twisted Products
 9 Conclusion
 Appendix
 Bibliography
 Index
 Isbn
 9783319081977
 Label
 Symbol correspondences for spin systems
 Title
 Symbol correspondences for spin systems
 Statement of responsibility
 Pedro de M. Rios, Eldar Straume
 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 spinj 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 quantumclassical symbol correspondences for spinj systems and their induced twisted products of functions on the 2sphere. 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 selfcontained approach also makes it a helpful resource for graduate students in mathematics and physics
 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
 Nonassociative 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)
 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 Spinj System  7 Multiplications of Symbols on the 2Sphere  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
 10.1007/9783319081984
 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)
 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 Spinj System  7 Multiplications of Symbols on the 2Sphere  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
 10.1007/9783319081984
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Reproduction note
 Electronic resource.
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/SymbolcorrespondencesforspinsystemsPedrode/HJhDmuoGwJY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/SymbolcorrespondencesforspinsystemsPedrode/HJhDmuoGwJY/">Symbol correspondences for spin systems, Pedro de M. Rios, Eldar Straume, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>