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[×ÊÔ´] Solid State Physics:Problems and Solutions

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Preface
Problems
Crystal Structures
Problem: Symmetries
Problem: Rotations
Problem: Copper Oxide Layers
Problem: Graphite
Problem: Structure of A  C  
Problem: hcp and fcc Structures
Problem: hcp and bcc Structures
Problem: Structure Factor of A  C  
Problem: Neutron Diffraction Device
Problem: Linear Array of Emitters, Finite Size Effects
Problem: Linear Array of Emitters, Superlattice
Problem: Powder Diffraction of hcp and fcc Crystals
Problem: Momentum Resolution
Problem: Finite Size Effects
Problem: Random Displacement
Problem: Vacancies
Problem: Integrated Scattering Intensity
Interatomic Forces, Lattice Vibrations
Problem: Madelung Constant
Problem: NaCl Bulk Modulus
Problem: Madelung with Screened Potential
Problem: Triple-axis Spectrometer
Problem: Phonons in Silicon
Problem: Linear Array of Emitters, Phonons
Problem: Long Range Interaction
Problem: Mass Defect
Problem: Debye Frequency
Problem: Vibrations of a Square Lattice
Problem: Gr¨¹neisen Parameter
Problem: Diatomic Chain
Problem: Damped Oscillation
Problem: Two-Dimensional Debye
Problem: Soft Optical Phonons
Problem: Soft Phonons Again
Electronic Band Structure
Problem: Nearly Free Electrons in One Dimension
Problem: Nearly Free Electrons in Dirac-Delta Potentials
Problem: Tight-Binding in Dirac-Delta Potentials
Problem: Dirac-Delta Potentials
Problem: Band Overlap
Problem: Nearly Free Electrons in Two Dimensions
Problem: Nearly Free Electron Bands
Problem: Instability at the Fermi Wavenumber
Problem: Electrons in 2D Nearly Free Electron Band
Problem: Square Lattice
Problem: Tight-Binding Band in Two Dimensions
Problem: Electrons in 2D Tight-Binding Band
Problem: Dirac-Delta Potentials in Two Dimensions
Problem: Effective Mass
Problem: Cyclotron Frequency
Problem: de Haas-van Alphen
Problem: Fermi Energy
Density of States
Problem: Density of States
Problem: Two-Dimensional Density of States
Problem: Two-Dimensional Tight-Binding
Problem: Quasi-One-Dimensional Metal
Problem: Crossover to Quasi-One-Dimensional Metal
Problem: Phonon Mode of Two-Dimensional System
Problem: Saddle Point
Problem: Density of States in Superconductors
Problem: Energy Gap
Problem: Density of States for Hybridized Bands
Problem: Infinite-Dimensional DOS
Problem: Two-Dimensional Electron Gas
Elementary Excitations
Problem: Tight-Binding Model
Problem: Hybridization of Energy Bands
Problem: Polarons
Problem: Polaritons
Problem: Excitons
Problem: Holstein-Primakoff Transformation
Problem: Dyson-Maleev Representation
Problem: Spin Waves
Problem: Spin Waves Again
Problem: Anisotropic Heisenberg Model
Problem: Solitons
Thermodynamics of Noninteracting Quasiparticles
Problem: Specific Heat of Metals and Insulators
Problem: Number of Phonons
Problem: Energy of the Phonon Gas
Problem: Bulk Modulus of Phonon Gas
Problem: Phonons in One Dimension
Problem: Electron-Hole Symmetry
Problem: Entropy of the Noninteracting Electron Gas
Problem: Free Energy with Gap at the Fermi Energy
Problem: Bulk Modulus at T=0
Problem: Temperature Dependence of the Bulk Modulus
Problem: Chemical Potential of the Free-Electron Gas
Problem: EuO Specific Heat
Problem: Magnetization at Low Temperatures
Problem: Electronic Specific Heat
Problem: Quantum Hall Effect
Transport Properties
Problem: Temperature Dependent Resistance
Problem: Conductivity Tensor
Problem: Montgomery Method
Problem: Anisotropic Layer
Problem: Two-Charge-Carrier Drude Model
Problem: Thermal Conductivity
Problem: Residual Resistivity
Problem: Electric and Heat Transport
Problem: Conductivity of Tight-Binding Band
Problem: Hall Effect in Two-Dimensional Metals
Problem: Free-Electron Results from the Boltzmann Equations
Problem: p-n Junctions
Optical Properties
Problem: Fourier Transform Infrared Spectroscopy
Problem: Optical Mode of KBr
Problem: Direct-Gap Semiconductor
Problem: Inversion Symmetry
Problem: Frequency-Dependent Conductivity
Problem: Frequency-Dependent Response of a Superconductor
Problem: Transmission of a Thin Superconductor
Problem: Bloch Oscillations
Interactions and Phase Transitions
Problem: Spontaneous Polarization
Problem: Divergent Susceptibility
Problem: Large-U Hubbard Model
Problem: Infinite Range Hubbard Model
Problem: Stoner Model
Problem: One-Dimensional Electron System
Problem: Peierls Distortion
Problem: Singularity at  
Problem: Susceptibility of a One-Dimensional Electron Gas
Problem: Critical Temperature in Mean Field Approximation
Problem: Screening of an Impurity Charge
Problem: Fermi Surface Nesting in Two Dimensions
Problem: Fermi Surface Nesting in Quasi One Dimension
Problem: Anderson Model
Solutions to Problems
References
Index
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