Keywords:
Lorentz groups.
;
Electronic books.
Type of Medium:
Online Resource
Pages:
1 online resource (138 pages)
Edition:
1st ed.
ISBN:
9781681742540
Series Statement:
IOP Concise Physics Series
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=6953114
DDC:
512.2
Language:
English
Note:
bk978-1-6817-4254-0ch0.pdf -- Preface -- bk978-1-6817-4254-0ch1.pdf -- Chapter 1 The Lorentz group and its representations -- 1.1 Generators of the Lorentz group -- 1.2 Two-by-two representation of the Lorentz group -- 1.3 Representations based on harmonic oscillators -- References -- bk978-1-6817-4254-0ch2.pdf -- Chapter 2 Wigner's little groups for internal space-time symmetries -- 2.1 Euler decomposition of Wigner's little group -- 2.2 The O(3)-like little group for massive particles -- 2.3 The E(2)-like little group for massless particles -- 2.4 The O(2, 1)-like little group for imaginary-mass particles -- 2.5 Summary -- References -- bk978-1-6817-4254-0ch3.pdf -- Chapter 3 Two-by-two representations of Wigner's little groups -- 3.1 Representations of Wigner's little groups -- 3.2 Lorentz completion of the little groups -- 3.3 Bargmann and Wigner decompositions -- 3.4 Conjugate transformations -- 3.5 Polarization of massless neutrinos -- 3.6 Scalars, four-vectors, and four-tensors -- 3.6.1 Four-vectors -- 3.6.2 Second-rank tensor -- References -- bk978-1-6817-4254-0ch4.pdf -- Chapter 4 One little group with three branches -- 4.1 One expression with three branches -- 4.2 Classical damped oscillators -- 4.3 Little groups in the light-cone coordinate system -- 4.4 Lorentz completion in the light-cone coordinate system -- References -- bk978-1-6817-4254-0ch5.pdf -- Chapter 5 Lorentz-covariant harmonic oscillators -- 5.1 Dirac's plan to construct Lorentz-covariant quantum mechanics -- 5.2 Dirac's forms of relativistic dynamics -- 5.3 Running waves and standing waves -- 5.4 Little groups for relativistic extended particles -- 5.5 Further properties of covariant oscillator wave functions -- 5.6 Lorentz contraction of harmonic oscillators -- 5.7 Feynman's rest of the Universe -- References -- bk978-1-6817-4254-0ch6.pdf.
,
Chapter 6 Quarks and partons in the Lorentz-covariant world -- 6.1 Lorentz-covariant quark model -- 6.2 Feynman's parton picture -- 6.3 Proton structure function -- 6.4 Proton form factor and Lorentz coherence -- 6.5 Coherence in momentum-energy space -- 6.6 Hadronic temperature and boiling quarks -- References -- bk978-1-6817-4254-0ch7.pdf -- Chapter 7 Coupled oscillators and squeezed states of light -- 7.1 Two coupled oscillators -- 7.2 Squeezed states of light -- 7.3 O(3, 2) symmetry from Dirac's coupled oscillators -- 7.4 O(3, 3) symmetry from Dirac matrices -- 7.5 Non-canonical transformations in quantum mechanics -- 7.6 Entropy and the expanding Wigner phase space -- References -- bk978-1-6817-4254-0ch8.pdf -- Chapter 8 Lorentz group in ray optics -- 8.1 Group of ABCD-matrices -- 8.2 Equi-diagonalization of the ABCD-matrix -- 8.3 Decomposition of the ABCD-matrix -- 8.4 Laser cavities -- 8.5 Multilayer optics -- 8.6 Camera optics -- References -- bk978-1-6817-4254-0ch9.pdf -- Chapter 9 Polarization optics -- 9.1 Jones vectors -- 9.2 Squeeze and phase shift -- 9.3 Rotation of the polarization axes -- 9.4 Optical activities -- References -- bk978-1-6817-4254-0ch10.pdf -- Chapter 10 Poincaré sphere -- 10.1 Coherency matrix -- 10.2 Entropy problem -- 10.3 Symmetries derivable from the Poincaré sphere -- 10.4 O(3, 2) symmetry -- References.
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