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Many-Particle Physics

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ISBN-10: 0306463385

ISBN-13: 9780306463389

Edition: 3rd 2000 (Revised)

Authors: Gerald D. Mahan

List price: $219.99
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Description:

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…    
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Book details

List price: $219.99
Edition: 3rd
Copyright year: 2000
Publisher: Springer
Publication date: 10/31/2000
Binding: Hardcover
Pages: 785
Size: 7.25" wide x 10.00" long x 1.75" tall
Weight: 4.048
Language: English

Gerald D. Mahan is Distinguished Professor of Physics at Pennsylvania State University. He is the author of two previous physics textbooks, "Many-Particle Physics" and "Applied Mathematics".

Introductory Material
Harmonic Oscillators and Phonons
Second Quantization for Particles
Electron-Phonon Interactions
Interaction Hamiltonian
Localized Electron
Deformation Potential
Piezoelectric Interaction
Polar Coupling
Spin Hamiltonians
Homogeneous Spin Systems
Impurity Spin Models
Photons
Gauges
Lagrangian
Hamiltonian
Pair Distribution Function
Problems
Green's Functions at Zero Temperature
Interaction Representation
Schrodinger
Heisenberg
Interaction
S Matrix
Green's Functions
Wick's Theorem
Feynman Diagrams
Vacuum Polarization Graphs
Dyson's Equation
Rules for Constructing Diagrams
Time-Loop S Matrix
Six Green's Functions
Dyson's Equation
Photon Green's Functions
Problems
Nonzero Temperatures
Introduction
Matsubara Green's Functions
Retarded and Advanced Green's Functions
Dyson's Equation
Frequency Summations
Linked Cluster Expansions
Thermodynamic Potential
Green's Functions
Real-Time Green's Functions
Wigner Distribution Function
Kubo Formula for Electrical Conductivity
Transverse Fields, Zero Temperature
Nonzero Temperatures
Zero Frequency
Photon Self-Energy
Other Kubo Formulas
Pauli Paramagnetic Susceptibility
Thermal Currents and Onsager Relations
Correlation Functions
Problems
Exactly Solvable Models
Potential Scattering
Reaction Matrix
T Matrix
Friedel's Theorem
Impurity Scattering
Ground State Energy
Localized State in the Continuum
Independent Boson Models
Solution by Canonical Transformation
Feynman Disentangling of Operators
Einstein Model
Optical Absorption and Emission
Sudden Switching
Linked Cluster Expansion
Bethe Lattice
Electron Green's Function
Ising Model
Tomonaga Model
Tomonaga Model
Spin Waves
Luttinger Model
Single-Particle Properties
Interacting System of Spinless Fermions
Polaritons
Semiclassical Discussion
Phonon-Photon Coupling
Exciton-Photon Coupling
Problems
Homogeneous Electron Gas
Exchange and Correlation
Kinetic Energy
Hartree
Exchange
Seitz's Theorem
[Sigma superscript (2a)]
[Sigma superscript (2b)]
[Sigma superscript (2c)]
High-Density Limit
Pair Distribution Function
Wigner Lattice
Metallic Hydrogen
Linear Screening
Model Dielectric Functions
Thomas-Fermi
Lindhard, or RPA
Hubbard
Singwi-Sjolander
Local Field Corrections
Vertex Corrections
Properties of the Electron Gas
Pair Distribution Function
Screening Charge
Correlation Energies
Compressibility
Pauli Paramagnetic Susceptibility
Sum Rules
One-Electron Properties
Renormalization Constant Z[subscript F]
Effective Mass
Mean-Free-Path
Problems
Strong Correlations
Kondo Model
High-Temperature Scattering
Low-Temperature State
Kondo Temperature
Kondo Resonance
Single-Site Anderson Model
No Hybridization
With Hybridization
Self-Energy of Electrons
Hubbard Model
Spin and Charge Separation
Exchange Graphs
Hubbard Model: Magnetic Phases
Ferromagnetism
Antiferromagnetism
An Example
Local Field Corrections
Problems
Electron-Phonon Interaction
Frohlich Hamiltonian
Brillouin-Wigner Perturbation Theory
Rayleigh-Schrodinger Perturbation Theory
Strong Coupling Theory
Linked Cluster Theory
Small Polaron Theory
Large Polarons
Small Polarons
Diagonal Transitions
Nondiagonal Transitions
Kubo Formula
Heavily Doped Semiconductors
Screened Interaction
Experimental Verifications
Electron Self-Energies
Metals
Phonons in Metals
Electron Self-Energies
Problems
dc Conductivities
Electron Scattering by Impurities
Boltzmann Equation
Kubo Formula: Approximate Solution
Ward Identities
Mobility of Frohlich Polarons
Electron-Phonon Relaxation Times
Metals
Semiconductors
Temperature Relaxation
Electron-Phonon Interactions in Metals
Force-Force Correlation Function
Kubo Formula
Mass Enhancement
Thermoelectric Power
Quantum Boltzmann Equation
Derivation of the QBE
Gradient Expansion
Electron Scattering by Impurities
Quantum Dot Tunneling
Electron Tunneling
Quantum Dots
Rate Equations
Quantum Conductance
Problems
Optical Properties of Solids
Nearly Free-Electron Systems
General Properties
Force-Force Correlation Functions
Frohlich Polarons
Interband Transitions
Phonons
Wannier Excitons
The Model
Solution by Green's Functions
Core-Level Spectra
X-ray Spectra in Metals
Physical Model
Edge Singularities
Orthogonality Catastrophe
MND Theory
XPS Spectra
Problems
Superconductivity
Cooper Instability
BCS Theory
Superconducting Tunneling
Normal-Superconductor
Two Superconductors
Josephson Tunneling
Infrared Absorption
Strong Coupling Theory
Transition Temperature
Problems
Superfluids
Liquid [superscript 4]He
Hartree and Exchange
Bogoliubov Theory of [superscript 4]He
Off-Diagonal Long-Range Order
Correlated Basis Functions
Experiments on n[subscript k]
Bijl-Feynman Theory
Improved Excitation Spectra
Superfluidity
Liquid [superscript 3]He
Fermi Liquid Theory
Experiments and Microscopic Theories
Interaction Between Quasiparticles: Excitations
Quasiparticle Transport
Superfluid [superscript 3]He
Quantum Hall Effects
Landau Levels
Classical Hall Effect
Quantum Hall Effect
Fixed Density
Fixed Chemical Potential
Impurity Dominated
Laughlin Wave Function
Collective Excitations
Magnetorotons
Quasiholes
Problems
References
Author Index
Subject Index