청구기호 |
QC355.3 .B376 2019eb |
형태사항 |
1 online resource (various pagings) : illustrations (chiefly color).
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총서명 |
[IOP release 6]
IOP expanding physics, 2053-2563
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언어 |
English |
일반주기 |
"Version: 20190601"--Title page verso.
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서지주기 |
Includes bibliographical references and index.
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내용 |
1. Forms of quantum mechanics -- 1.1. The Schr?odinger and Heisenberg pictures -- 1.2. Interaction picture -- 1.3. Density-matrix formulation of quantum mechanics -- 1.4. Further contents of Heisenberg's commutation relations
2. Lorentz group and its representations -- 2.1. Lie algebra of the Lorentz group -- 2.2. Two-by-two representation of the Lorentz group -- 2.3. Four-vectors in the two-by-two representation -- 2.4. Transformation properties in the two-by-two representation -- 2.5. Subgroups of the Lorentz group -- 2.6. Decompositions of the Sp(2) matrices -- 2.7. Bilinear conformal representation of the Lorentz group
3. Internal space-time symmetries -- 3.1. Wigner's little groups -- 3.2. Little groups in the light-cone coordinate system -- 3.3. Two-by-two representation of the little groups -- 3.4. One expression with three branches -- 3.5. Classical damped oscillators
4. Photons and neutrinos in the relativistic world of Maxwell and Wigner -- 4.1. The Lorentz group and Wigner's little groups -- 4.2. Massive and massless particles -- 4.3. Polarization of massless neutrinos -- 4.4. Scalars, vectors, tensors, and the polarization of photons
5. Wigner functions -- 5.1. Basic properties of the Wigner phase-space distribution function -- 5.2. Time dependence of the Wigner function -- 5.3. Wave packet spread -- 5.4. Harmonic oscillators -- 5.5. Minimum uncertainty in phase space -- 5.6. Density matrix -- 5.7. Measurable quantities
6. Coherent states of light -- 6.1. Phase-number uncertainty relation -- 6.2. Baker-Campbell-Hausdorff relation -- 6.3. Coherent states -- 6.4. Symmetry of coherent states -- 6.5. Coherent states in phase space -- 6.6. Single-mode squeezed states
7. Squeezed states and their symmetries -- 7.1. Two-mode states -- 7.2. Unitary transformations -- 7.3. Symmetries of two-mode states -- 7.4. Dirac matrices and O(3,3) symmetry -- 7.5. Symmetries in phase space -- 7.6. Two coupled oscillators
8. Entanglement and entropy -- 8.1. Density matrix and entropy -- 8.2. Two-by-two density matrices -- 8.3. Density matrix for two-oscillator states -- 8.4. Entropy for the two-mode state -- 8.5. Entangled excited states -- 8.6. Wigner functions and uncertainty relations
9. Ray optics and optical activities -- 9.1. Ray optics using the group of ABCD matrices -- 9.2. Physical examples using ABCD matrices -- 9.3. Optical activities
10. Polarization optics -- 10.1. Jones vector, phase shifters, and attenuators -- 10.2. New filters and possible applications -- 10.3. Non-orthogonal coordinate systems -- 11. Stokes parameters and Poincar?e sphere -- 11.1. Polarization optics and decoherence -- 11.2. Coherency matrix and Stokes parameters -- 11.3. Poincar?e sphere -- 11.4. The entropy problem -- 11.5. Further symmetries from the Poincar?e sphere
Appendix A. Covariant harmonic oscillators and the quark-parton puzzle -- A.1. The covariant harmonic oscillator -- A.2. Quark-parton puzzle.
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주제 |
Optics --Mathematics.
Quantum optics.
Mathematical physics. --bicssc
SCIENCE / Physics / Mathematical & Computational. --bisacsh
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보유판 및 특별호 저록 |
Print version: 9780750316125
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ISBN |
9780750316149, 9780750316132, 9780750316125 |
기타 표준번호 |
10.1088/2053-2563/aafe78 |
QR CODE |
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