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 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
- 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 Spin-j System
- 7 Multiplications of Symbols on the 2-Sphere
- 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 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Symbol-correspondences-for-spin-systems-Pedro-de/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/Symbol-correspondences-for-spin-systems-Pedro-de/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>
