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