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Physics of the Lorentz group / (Record no. 82848)

000 -LEADER
fixed length control field 10489nam a2200805 i 4500
001 - CONTROL NUMBER
control field 9780750336079
003 - CONTROL NUMBER IDENTIFIER
control field IOP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230516170241.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m eo d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn |||m|||a
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210611s2021 enka fob 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750336079
Qualifying information ebook
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750336062
Qualifying information mobi
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750336055
Qualifying information print
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750336086
Qualifying information myPrint
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1088/978-0-7503-3607-9
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)thg00082509
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1259501151
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC174.17.R65
Item number B377 2021eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI040000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ba�ckal, Sibel,
Relator term author.
9 (RLIN) 70484
245 10 - TITLE STATEMENT
Title Physics of the Lorentz group /
Statement of responsibility, etc. Sibel Baskal, Young S. Kim, Marilyn E. Noz.
250 ## - EDITION STATEMENT
Edition statement Second edition.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
Name of producer, publisher, distributor, manufacturer IOP Publishing,
Date of production, publication, distribution, manufacture, or copyright notice [2021]
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (various pagings) :
Other physical details illustrations (some color).
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement [IOP release $release]
490 1# - SERIES STATEMENT
Series statement IOP ebooks. [2021 collection]
500 ## - GENERAL NOTE
General note "Version: 20210205"--Title page verso.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Lorentz group and its representations -- 1.1. Generators of the Lorentz group -- 1.2. Two-by-two representation of the Lorentz group -- 1.3. Conformal representation of the Lorentz group -- 1.4. Representations of the Poincar�e group -- 1.5. Representations of the Lorentz group based on harmonic oscillators -- 1.6. Wigner functions for the Lorentz group
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Wigner's little groups for internal space-time symmetries -- 2.1. Euler decomposition of Wigner's little group -- 2.2. O(3)-like little group for massive particles -- 2.3. E(2)-like little group for massless particles -- 2.4. O(2, 1)-like little group for imaginary-mass particles -- 2.5. Further properties of Wigner's little groups -- 2.6. Little groups in the light-cone coordinate system
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Group contractions -- 3.1. Contraction with squeeze transformations -- 3.2. Contractions of the O(3) rotation group -- 3.3. Contraction of the O(2, 1) Lorentz group -- 3.4. Contraction of the Lorentz group -- 3.5. Tangential spheres
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4. Two-by-two representations of Wigner's little groups -- 4.1. Transformation properties of the energy-momentum four-vector -- 4.2. Two-by-two representations of Wigner's little groups -- 4.3. Lorentz completion of the little groups -- 4.4. Bargmann and Wigner decompositions -- 4.5. Conjugate transformations -- 4.6. One little group with three branches -- 4.7. Classical damped harmonic oscillator
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5. Relativistic spinors and polarization of photons and neutrinos -- 5.1. Two-component spinors -- 5.2. Massive and massless particles -- 5.3. Dirac spinors and massless particles -- 5.4. Polarization of massless neutrinos -- 5.5. Scalars, vectors, tensors, and the polarization of photons
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6. Lorentz-covariant harmonic oscillators -- 6.1. Dirac's plan to construct Lorentz-covariant quantum mechanics -- 6.2. Dirac's forms of relativistic dynamics -- 6.3. Running waves and standing waves -- 6.4. Little groups for relativistic extended particles -- 6.5. Further properties of covariant oscillator wave functions -- 6.6. Lorentz contraction of harmonic oscillators -- 6.7. Feynman's rest of the Universe
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7. Quarks and partons in the Lorentz-covariant world -- 7.1. Lorentz-covariant quark model -- 7.2. Feynman's parton picture -- 7.3. Proton structure function -- 7.4. Proton form factor and Lorentz coherence -- 7.5. Coherence in energy-momentum space -- 7.6. Hadronic temperature and boiling quarks
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8. Wigner functions and their symmetries -- 8.1. Symmetries and the uncertainty principle in the Wigner phase space -- 8.2. Four-dimensional phase space -- 8.3. Canonical transformations -- 8.4. SL(4, r) symmetry -- 8.5. Dirac matrices for O(3, 3) -- 8.6. O(3, 3) symmetry
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 9. Coupled harmonic oscillators and squeezed states of light -- 9.1. Coupled oscillators -- 9.2. Lorentz-covariant oscillators -- 9.3. Squeezed states of light -- 9.4. Further notes on squeezed states -- 9.5. O(3, 2) symmetry from Dirac's coupled oscillators -- 9.6. Canonical and non-canonical transformations from the coupled oscillators -- 9.7. Entropy and the expanding Wigner phase space
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 10. Special relativity from quantum mechanics? -- 10.1. Definition of the problem -- 10.2. Symmetries of the single oscillator -- 10.3. Symmetries from two oscillators -- 10.4. Contraction of O(3, 2) to the inhomogeneous Lorentz group
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 11. Lorentz group in ray optics -- 11.1. The group of ABCD matrices applied to ray optics -- 11.2. Equi-diagonalization of the ABCD matrix -- 11.3. Decomposition of the ABCD matrix -- 11.4. Laser cavities -- 11.5. Composition of lens and translation matrices -- 11.6. Optical beam propagation through multilayers -- 11.7. Camera optics
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 12. Polarization optics -- 12.1. Jones vectors -- 12.2. Squeeze transformation and phase shift -- 12.3. Rotation of the polarization axes -- 12.4. The SL(2, c) group content of polarization optics -- 12.5. Optical activities -- 12.6. Correspondence to space-time symmetries -- 12.7. More optical filters from E(2)-like groups
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 13. Poincar�e sphere -- 13.1. Decoherence in polarization optics -- 13.2. Coherency matrix -- 13.3. Poincar�e sphere -- 13.4. Two concentric Poincar�e spheres -- 13.5. Symmetries derivable from the Poincar�e sphere -- 13.6. O(3, 2) symmetry for energy couplings -- 13.7. Entropy problem
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Appendix A. Physics as art of synthesis -- A.1. Illustration of Hume, Kant, and Hegel -- A.2. Kant and Einstein -- A.3. Kantianism and Taoism -- A.4. Einstein and Hegel.
520 3# - SUMMARY, ETC.
Summary, etc. This book explains the Lorentz group in a language familiar to physicists, namely in terms of two-by-two matrices. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group applicable to the four-dimensional Minkowski space is still very strange to most physicists. However, it plays an essential role in a wide swathe of physics and is becoming the essential language for modern and rapidly developing fields. The first edition was primarily based on applications in high-energy physics developed during the latter half of the 20th Century, and the application of the same set of mathematical tools to optical sciences. In this new edition, the authors have added five new chapters to deal with emerging new problems in physics, such as quantum optics, information theory, and fundamental issues in physics including the question of whether quantum mechanics and special relativity are consistent with each other, or whether these two disciplines can be derived from the same set of equations.
521 ## - TARGET AUDIENCE NOTE
Target audience note Mathematical and theoretical physicists.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 ## - BIOGRAPHICAL OR HISTORICAL DATA
Biographical or historical data Sibel Ba�ckal is a professor of Physics at the Middle East Technical University. She is particularly interested in the manifestations of the Poincar�e and little groups, and of group contractions in physical sciences. Her research interests extend to current problems in classical field theories, mostly on alternative approaches to Einstein's gravity. She has published more than 30 peer-reviewed papers and is the co-author of two books with Y S Kim and M E Noz. Young S. Kim came to the United States from South Korea in 1954 after high school graduation, to become a freshman at the Carnegie Institute of Technology (now called Carnegie Mellon University) in Pittsburgh. In 1958, he went to Princeton University for graduate study in physics and received his PhD degree in 1961. In 1962, he became an assistant professor at the University of Maryland at College Park near Washington, DC. After going through the academic ranks of associate and full professors, Dr Kim became a professor emeritus in 2007. This is still his position at the University of Maryland. Dr Kim's thesis advisor at Princeton was Sam Treiman, but he had to go to Eugene Wigner whenever he had to face fundamental problems in physics. During this process, he became interested in Wigner's 1939 paper on internal space-time symmetries particles in Einstein's Lorentz-covariant world. Since 1973, his publications have been based primarily on constructing mathematical formulas for understanding Wigner's paper. In 1988, Dr Kim noted that the same set of mathematical devices are applicable to squeezed states in quantum optics. Since then, he has been publishing papers also on optical and information sciences. These days, Dr Kim publishes articles on the question of whether quantum mechanics and special relativity can be derived from the same basket of equations. Marilyn E. Noz is Professor Emerita in the Department of Radiology at NYU School of Medicine. Over the last more than 40 years, she has collaborated with Professor Kim on relativistic quantum mechanics using two-by-two matrices, harmonics oscillators, and the Lorentz group. She has contributed to over 50 peer-reviewed journal articles in elementary particle physics and optics. She has written three books with Professor Kim and two books with Professors Kim and Ba�ckal. She continues to do research in elementary particle physics and quantum optics.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF title page (viewed on June 11, 2021).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lorentz groups.
9 (RLIN) 70485
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Rotation groups.
9 (RLIN) 70486
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
9 (RLIN) 11013
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
Source of heading or term bicssc
9 (RLIN) 11013
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element SCIENCE / Physics / Mathematical & Computational.
Source of heading or term bisacsh
9 (RLIN) 66026
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kim, Y. S.,
Relator term author.
9 (RLIN) 70487
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Noz, Marilyn E.,
Relator term author.
9 (RLIN) 70488
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element Institute of Physics (Great Britain),
Relator term publisher.
9 (RLIN) 11622
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780750336055
-- 9780750336086
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP (Series).
Name of part/section of a work Release 21.
9 (RLIN) 70489
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP ebooks.
Name of part/section of a work 2021 collection.
9 (RLIN) 70490
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://iopscience.iop.org/book/978-0-7503-3607-9">https://iopscience.iop.org/book/978-0-7503-3607-9</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks

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