Quantum physics of light and matter: photons, atoms and strongly correlated systems
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham
Springer
2017
|
| Edition: | Second edition |
| Series: | UNITEXT for physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xi, 244 Seiten Diagramme |
| ISBN: | 9783319529974 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Quantum physics of light and matter
Autor: Salasnich, Luca
Jahr: 2017
Contents
1 The Origins of Modern Physics............................................................1
1.1 Special Relativity............................................................................1
1.2 Quantum Mechanics........................................................................3
1.2.1 Axioms of Quantum Mechanics..........................................8
1.2.2 Quantum Information..........................................................9
1.3 Quantum Statistical Mechanics........................................................13
1.3.1 Microcanonical Ensemble....................................................13
1.3.2 Canonical Ensemble............................................................14
1.3.3 Grand Canonical Ensemble..................................................15
1.4 Solved Problems..............................................................................17
2 Second Quantization of Light................................................................21
2.1 Electromagnetic Waves....................................................................21
2.1.1 Photons................................................................................23
2.1.2 Electromagnetic Potentials and Coulomb Gauge..................24
2.2 Second Quantization of Light..........................................................27
2.2.1 Fock versus Coherent States for the Light Field..................30
2.2.2 Linear and Angular Momentum of the Radiation Field.... 33
2.2.3 Zero-Point Energy and the Casimir Effect............................34
2.3 Quantum Radiation Field at Finite Temperature..............................36
2.4 Phase Operators..............................................................................38
2.5 Solved Problems..............................................................................40
3 Electromagnetic Transitions..................................................................51
3.1 Classical Electrodynamics................................................................51
3.2 Quantum Electrodynamics in the Dipole Approximation................53
3.2.1 Spontaneous Emission..........................................................55
3.2.2 Absorption..........................................................................58
3.2.3 Stimulated Emission............................................................59
3.3 Selection Rules...............................60
3.4 Einstein Coefficients...........................62
3.4.1 Rate Equations for Two-Level and Three-Level
Systems...............................64
3.5 Life-Time and Natural Line-Width................66
3.5.1 Collisional Broadening...................67
3.5.2 Doppler Broadening.....................68
3.6 Minimal Coupling and Center of Mass.............69
3.7 Solved Problems..............................70
4 The Spin of the Electron...........................81
4.1 The Dirac Equation...........................81
4.2 The Pauli Equation and the Spin.................85
4.3 Dirac Equation with a Central Potential............87
4.3.1 Relativistic Hydrogen Atom and Fine Splitting. 88
4.3.2 Relativistic Corrections to the Schrödinger
Hamiltonian............................89
4.4 Solved Problems..............................91
5 Energy Splitting and Shift Due to External Fields..............................99
5.1 Stark Effect......................................................................................99
5.2 Zeeman Effect..................................................................................101
5.2.1 Strong-Field Zeeman Effect..................................................102
5.2.2 Weak-Field Zeeman Effect..................................................104
5.3 Solved Problems..............................................................................106
6 Many-Body Systems..............................................................................115
6.1 Identical Quantum Particles............................................................115
6.2 Non-interacting Identical Particles..................................................117
6.2.1 Uniform Gas of Non-interacting Fermions..........................119
6.2.2 Atomic Shell Structure and the Periodic
Table of the Elements..........................................................121
6.3 Interacting Identical Particles..........................................................123
6.3.1 Variational Principle............................................................124
6.3.2 Hartree for Bosons..............................................................125
6.3.3 Hartree-Fock for Fermions..................................................126
6.3.4 Mean-Field Approximation..................................................129
6.4 Density Functional Theory..............................................................131
6.5 Molecules and the Bom-Oppenheimer Approximation....................138
6.6 Solved Problems..............................................................................140
7 Second Quantization of Matter..............145
7.1 Schrodinger Field......................145
7.2 Second Quantization of the Schrodinger Field 147
7.2.1 Bosonic and Fermionic Matter Field. . 150
7.3 Connection Between First and Second Quantization........................153
7.4 Coherent States for Bosonic and Fermionic Matter Fields..............156
7.5 Quantum Matter Field at Finite Temperature..................................160
7.6 Matter-Radiation Interaction............................................................161
7.6.1 Cavity Quantum Electrodynamics........................................163
7.7 Bosons in a Double-Well Potential..................................................166
7.7.1 Analytical Results with N = 1 and N = 2............................170
7.8 Solved Problems..............................................................................171
8 Functional Integration for the Bosonic Field........................................177
8.1 Partition Function of Interacting Bosons..........................................177
8.1.1 Semiclassical Approximation and Imaginary Time..............179
8.2 Broken Symmetry and Order Parameter..........................................182
8.2.1 Ideal Bose Gas: Critical Temperature and Condensate
Fraction................................................................................183
8.2.2 Interacting Bose Gas: Bogoliubov Spectrum........................186
8.2.3 Dimensional Regularization of Gaussian Fluctuations..........190
8.3 Gross-Pitaevskii Equation................................................................191
8.3.1 Superfluid Hydrodynamics..................................................192
8.3.2 Bright and Dark Solitons....................................................194
8.4 Solved Problems..............................................................................196
9 Functional Integration for the Fermionic Field....................................203
9.1 Partition Function of Interacting Fermions......................................203
9.2 Ideal Fermi Gas..............................................................................205
9.3 Repulsive Fermions: Hartree-Fock Approximation..........................208
9.4 Attractive Fermions: BCS Approximation......................................209
9.4.1 Condensate Fraction of Cooper Pairs..................................212
9.4.2 Ginzburg-Landau Theory....................................................214
9.4.3 BCS-BEC Crossover............................................................218
9.5 Solved Problems..............................................................................222
Appendix A: Dirac Delta Function............................................................229
Appendix B: Fourier Transform................................................................233
Appendix C: Laplace Transform................................................................239
|
| any_adam_object | 1 |
| author | Salasnich, Luca 1967- |
| author_GND | (DE-588)1057970042 |
| author_facet | Salasnich, Luca 1967- |
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| classification_rvk | UK 1000 UK 1400 UO 4000 |
| classification_tum | PHY 602f PHY 023f |
| ctrlnum | (OCoLC)986504435 (DE-599)BVBBV044246622 |
| discipline | Physik |
| edition | Second edition |
| format | Book |
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| indexdate | 2024-07-10T07:47:39Z |
| institution | BVB |
| isbn | 9783319529974 |
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| physical | xi, 244 Seiten Diagramme |
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| publisher | Springer |
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| series2 | UNITEXT for physics |
| spelling | Salasnich, Luca 1967- Verfasser (DE-588)1057970042 aut Quantum physics of light and matter photons, atoms and strongly correlated systems Luca Salasnich Second edition Cham Springer 2017 © 2017 xi, 244 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier UNITEXT for physics Feldquantisierung (DE-588)4153946-1 gnd rswk-swf Licht (DE-588)4035596-2 gnd rswk-swf Materie (DE-588)4037940-1 gnd rswk-swf Lehrbuch gnd rswk-swf Licht (DE-588)4035596-2 s Materie (DE-588)4037940-1 s Feldquantisierung (DE-588)4153946-1 s Lehrbuch f DE-604 Erscheint auch als Online-Ausgabe 978-3-319-52998-1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029651810&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Salasnich, Luca 1967- Quantum physics of light and matter photons, atoms and strongly correlated systems Feldquantisierung (DE-588)4153946-1 gnd Licht (DE-588)4035596-2 gnd Materie (DE-588)4037940-1 gnd |
| subject_GND | (DE-588)4153946-1 (DE-588)4035596-2 (DE-588)4037940-1 |
| title | Quantum physics of light and matter photons, atoms and strongly correlated systems |
| title_auth | Quantum physics of light and matter photons, atoms and strongly correlated systems |
| title_exact_search | Quantum physics of light and matter photons, atoms and strongly correlated systems |
| title_full | Quantum physics of light and matter photons, atoms and strongly correlated systems Luca Salasnich |
| title_fullStr | Quantum physics of light and matter photons, atoms and strongly correlated systems Luca Salasnich |
| title_full_unstemmed | Quantum physics of light and matter photons, atoms and strongly correlated systems Luca Salasnich |
| title_short | Quantum physics of light and matter |
| title_sort | quantum physics of light and matter photons atoms and strongly correlated systems |
| title_sub | photons, atoms and strongly correlated systems |
| topic | Feldquantisierung (DE-588)4153946-1 gnd Licht (DE-588)4035596-2 gnd Materie (DE-588)4037940-1 gnd |
| topic_facet | Feldquantisierung Licht Materie Lehrbuch |
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