Physics of the Lorentz group:
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
San Rafael, CA
Morgan & Claypool Publishers
[2015]
Bristol IOP Publishing [2015] |
| Edition: | Version: 20151101 |
| Series: | IOP concise physics
|
| Subjects: | |
| Online Access: | UBM01 UBT01 UBW01 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (139 Seiten in getrennter Zählung) Illustrationen, Diagramme |
| ISBN: | 9781681741260 9781681742540 |
| DOI: | 10.1088/978-1-6817-4254-0 |
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Record in the Search Index
| _version_ | 1804175667786416128 |
|---|---|
| adam_text | Titel: Physics of the Lorentz Group
Autor: Başkal, Sibel
Jahr: 2015
Contents
Preface x
1 The Lorentz group and its representations 1-1
1.1 Generators of the Lorentz group 1-1
1.2 Two-by-two representation of the Lorentz group 1-3
1.3 Representations based on harmonic oscillators 1-5
References 1-6
2 Wigner s little groups for internal space-tune symmetries 2-1
2.1 Euler decomposition of Wigner s little group 2-1
2.2 The 0(3)-like little group for massive particles 2-2
2.3 The £ (2)-like little group for massless particles 2-3
2.4 The 0(2, l)-like little group for imaginary-mass particles 2-5
2.5 Summary 2-6
References 2-7
3 Two-by-two representations of Wigner s little groups 3-1
3.1 Representations of Wigner s little groups 3-2
3.2 Lorentz completion of the little groups 3-3
3.3 Bargmann and Wigner decompositions 3-5
3.4 Conjugate transformations 3-6
3.5 Polarization of massless neutrinos 3-9
3.6 Scalars, four-vectors, and four-tensors 3-10
3.6.1 Four-vectors 3-12
3.6.2 Second-rank tensor 3-13
References 3-16
4 One little group with three branches 4-1
4.1 One expression with three branches 4-1
4.2 Classical damped oscillators 4-3
4.3 Little groups in the light-cone coordinate system 4-5
4.4 Lorentz completion in the light-cone coordinate system 4-9
References 4-9
5 Lorentz-covariant harmonic oscillators 5-1
5.1 Dirac s plan to construct Lorentz-covariant quantum mechanics 5-2
5.2 Dirac s forms of relativistic dynamics 5-3
5.3 Running waves and standing waves 5-5
5.4 Little groups for relativistic extended particles 5-8
5.5 Further properties of covariant oscillator wave functions 5-10
5.6 Lorentz contraction of harmonic oscillators 5-11
5.7 Feynman s rest of the Universe 5-13
References 5-17
6 Quarks and partons in the Lorentz-covariant world 6-1
6.1 Lorentz-covariant quark model 6-3
6.2 Feynman s parton picture 6-4
6.3 Proton structure function 6-6
6.4 Proton form factor and Lorentz coherence 6-10
6.5 Coherence in momentum-energy space 6-14
6.6 Hadronic temperature and boiling quarks 6-15
References 6-17
7 Coupled oscillators and squeezed states of light 7-1
7.1 Two coupled oscillators 7-2
7.2 Squeezed states of light 7-4
7.3 0(3, 2) symmetry from Dirac s coupled oscillators 7-7
7.4 0(3, 3) symmetry from Dirac matrices 7-10
7.5 Non-canonical transformations in quantum mechanics 7-12
7.6 Entropy and the expanding Wigner phase space 7-14
References 7-15
8 Lorentz group in ray optics 8-1
8.1 Group of ABCD-matrices 8-1
8.2 Equi-diagonalization of the ABCD-matrix 8-2
8.3 Decomposition of the ABCD-matrix 8-4
8.4 Laser cavities 8-5
8.5 Multilayer optics 8-8
8.6 Camera optics 8-11
References 8-14
9 Polarization optics 9-1
9.1 Jones vectors 9-1
9.2 Squeeze and phase shift 9-3
9.3 Rotation of the polarization axes 9-5
9.4 Optical activities 9-8
References 9-10
10 Poincare sphere 10-1
10.1 Coherency matrix 10-1
10.2 Entropy problem 10-4
10.3 Symmetries derivable from the Poincare sphere 10-5
10.4 0(3, 2) symmetry 10-7
References 10-8
|
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| spelling | Başkal, Sibel Verfasser (DE-588)1106275349 aut Physics of the Lorentz group Sibel Başkal (Department of Physics, Middle East Technical University, 06800 Ankara, Turkey), Young S Kim (Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA), Marilyn E Noz (Department of Radiology, New York University, New York, NY 10016, USA) Version: 20151101 San Rafael, CA Morgan & Claypool Publishers [2015] Bristol IOP Publishing [2015] © 2015 1 Online-Ressource (139 Seiten in getrennter Zählung) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier IOP concise physics Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Lorentz-Gruppe (DE-588)4036335-1 gnd rswk-swf Lorentz-Gruppe (DE-588)4036335-1 s Theoretische Physik (DE-588)4117202-4 s DE-604 Kim, Young S. Verfasser aut Noz, Marilyn E. Verfasser (DE-588)136496962 aut Erscheint auch als Druckausgabe 978-1-6817-4190-1 https://doi.org/10.1088/978-1-6817-4254-0 Verlag URL des Erstveröffentlichers Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028606603&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Textdatei PDF EPUB HTML |
| spellingShingle | Başkal, Sibel Kim, Young S. Noz, Marilyn E. Physics of the Lorentz group Theoretische Physik (DE-588)4117202-4 gnd Lorentz-Gruppe (DE-588)4036335-1 gnd |
| subject_GND | (DE-588)4117202-4 (DE-588)4036335-1 |
| title | Physics of the Lorentz group |
| title_auth | Physics of the Lorentz group |
| title_exact_search | Physics of the Lorentz group |
| title_full | Physics of the Lorentz group Sibel Başkal (Department of Physics, Middle East Technical University, 06800 Ankara, Turkey), Young S Kim (Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA), Marilyn E Noz (Department of Radiology, New York University, New York, NY 10016, USA) |
| title_fullStr | Physics of the Lorentz group Sibel Başkal (Department of Physics, Middle East Technical University, 06800 Ankara, Turkey), Young S Kim (Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA), Marilyn E Noz (Department of Radiology, New York University, New York, NY 10016, USA) |
| title_full_unstemmed | Physics of the Lorentz group Sibel Başkal (Department of Physics, Middle East Technical University, 06800 Ankara, Turkey), Young S Kim (Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA), Marilyn E Noz (Department of Radiology, New York University, New York, NY 10016, USA) |
| title_short | Physics of the Lorentz group |
| title_sort | physics of the lorentz group |
| topic | Theoretische Physik (DE-588)4117202-4 gnd Lorentz-Gruppe (DE-588)4036335-1 gnd |
| topic_facet | Theoretische Physik Lorentz-Gruppe |
| url | https://doi.org/10.1088/978-1-6817-4254-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028606603&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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