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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 | |