Many-Particle Physics
(Sprache: Englisch)
The first, second, and third editions of this book seem to occur at ten year intervals. The intent is to keep the book up-to-date. Many-body theory is a field which continually evolves in time. Journals only publish new results, conferences only invite...
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Klappentext zu „Many-Particle Physics “
The first, second, and third editions of this book seem to occur at ten year intervals. The intent is to keep the book up-to-date. Many-body theory is a field which continually evolves in time. Journals only publish new results, conferences only invite speakers to report new phenomena, and agencies only fund scientists to do new physics. Today's physics is old hat by tomorrow. Students want to learn new material, and textbooks must be modified to keep up with the times. The early chapters in this book teach the techniques of many-body theory. They are largely unchanged in format. The later chapters apply the techniques to specific problems. The third edition increases the number of applications. New sections have been added, while old sections have been modified to include recent applications. The previous editions were set in type using pre-computer technology. No computer file existed of the prior editions. The publisher scanned the second edition and gave me a disk with the contents. This scan recorded the words accurately and scrambled the equations into unintelligible form. So I retyped the equations using LaTeX. Although tedious, it allowed me to correct the infinite numbers of typographical errors in the previous edition. The earlier typesetting methods did not permit such corrections. The entire book was edited sentence-by sentence. Most old sections of the book were shortened by editing sentences and paragraphs.
This comprehensive textbook utilizes Green's functions and the equations derived from them to solve real physical problems in solid-state theoretical physics. Green's functions are used to describe processes in solids and quantum fluids and to address problems in areas such as electron gas, polarons, electron transport, optical response, superconductivity and superfluidity. The updated third edition features several new chapters on different mean-free paths, Hubbard model, Coulomb blockade, and the quantum Hall effect. New sections have been added, while original sections have been modified to include recent applications. This text is ideal for third- or fourth-year graduate students and includes numerous study problems and an extensive bibliography.
Inhaltsverzeichnis zu „Many-Particle Physics “
1: Introductory Material1.1. Harmonic Oscillators and Phonons
1.2. Second Quantization for Particles
1.3. Electron-Phonon Interactions
1.4. Spin Hamiltonians
1.5. Photons
1.6. Pair Distribution Function
2: Green's Functions at Zero Temperature
2.1. Interaction Representation
2.2. S Matrix
2.3. Green's Functions
2.4. Wick's Theorem
2.5. Feynman Diagrams
2.6. Vacuum Polarization Graphs
2.7. Dyson's Equation
2.8. Rules for Constructing Diagrams
2.9. Time-Loop S Matrix
2.10. Photon Green's Functions
3: Nonzero Temperatures
3.1. Introduction
3.2. Matsubara Green's Functions
3.3. Retarded and Advanced Green's Functions
3.4. Dyson's Equation
3.5. Frequency Summations
3.6. Linked Cluster Expansions
3.7. Real Time Green's Functions
3.8. Kubo Formula for Electrical Conductivity
3.9. Other Kubo Formulas
4: Exactly Solvable Models
4.1. Potential Scattering
4.2. Localized State in the Continuum
4.3. Independent Boson Models
4.4. Bethe Lattice
4.5. Tomonaga Model
4.6. Polaritons. 5: Homogeneous Electron Gas
5.1. Exchange and Correlation
5.2. Wigner Lattice
5.3. Metallic Hydrogen
5.4. Linear Screening
5.5. Model Dielectric Functions
5.6. Properties of the Electron Gas
5.7. Sum Rules
5.8. One-Electron Properties
6: Strong Correlations
6.1. Kondo Model
6.2. Single-Site Anderson Model
6.3. Hubbard Model
6.4. Hubbard Model: Magnetic Phases
7: Electron-Phonon Interaction
7.1. Fröhlich Hamiltonian
7.2. Small Polaron Theory
7.3. Heavily Doped Semiconductors
7.4. Metals
8: dc Conductivities
8.1. Electron Scattering by Impurities
8.2. Mobility of Frölich Polarons
8.3. Electron-Phonon Relaxation Times
8.4. Electron-Phonon Interactions in Metals
8.5. Quantum Boltzmann Equation
8.6. Quantum Dot Tunneling
9: Optical Properties of Solids
9.1. Nearly Free-Electron Systems
9.2. Wannier Excitons
9.3. X-Ray Spectra in Metals
10: Superconductivity
10.1. Cooper Instability
10.2. Superconducting Tunneling
10.3. Strong Coupling
... mehr
Theory
10.4. Transition Temperature
11: Superfluids
11.1. Liquid 4He
11.2. Liquid 3He
11.3. Quantum Hall Effects
10.4. Transition Temperature
11: Superfluids
11.1. Liquid 4He
11.2. Liquid 3He
11.3. Quantum Hall Effects
... weniger
Bibliographische Angaben
- Autor: Gerald D. Mahan
- 2010, 3rd ed., XII, 785 Seiten, Maße: 17 x 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441933395
- ISBN-13: 9781441933393
Sprache:
Englisch
Pressezitat
About the First Edition: `This is a worthy newcomer and will make an excellent teaching text.'
Physics Bulletin
`The book should serve as a valuable contribution to the library of students and researchers in solid state and theoretical physics.'
Philosophical Magazine
About the Second Edition:
`Since its first edition, this book has become one of the most popular textbooks in quantum many-body theory, thus guaranteeing the interest of the scientific community in this second edition.'
Mathematical Reviews
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