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**Quantum Theory of Solids - Rudolf Ernst Peierls - Google книги**

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Description A modern presentation of theoretical solid state physics that builds directly upon Kittel's Introduction to Solid State Physics. About the Author Charles Kittel taught solid state physics at the University of California Berkeley from to References Publications referenced by this paper.

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Condensed Matter Physics. A rather complete book describing the main phenomena in solid state physics. Chaikin , Tom C. Quantum Theory of Solids. Contains detailed discussion of many problems in quantum theory, using more modern methods such as diagram techniques. Principles of the Theory of Solids. A very good and clear book covering the main topics in solid state physics.

Solid State Physics. Topics include: theory of linear response, second quantization, the electron gas, one electron theory, lattice dynamics, scattering of particles by crystals, electron-phonon interaction, superconductivity, light-matter interactions.

## Quantum Theory of the Solid State

The Solid as a Many-Particle Problem. Free electrons without interaction; the electron gas in magnetic fields; occupation number representation; Hartree-Fock approximation; perturbation theory; the dielectric function.

One Electron Theory. Density functional theory; the Hohenberg-Kohn theorem and the Kohn-Sham formulation; Bloch electrons and band structure; almost free electrons, the core states and pseudo-potentials; LCAO and tight binding approximation; effective mass approximation and the dynamics of Bloch electrons; subbands in semiconductor quantum structures. Lattice Dynamics. Harmonic approximation and normal coordinates; phonons and occupation number representation; acoustic and optical modes; density of states and the Debye approximation; beyond the harmonic approximation and phonon interactions; the crystal lattice at finite temperatures.

Scattering of Particles by Crystals. Elastic scattering of X-rays and the Thompson approximation; inelastic scattering of particles and phonon spectra; quantum theory of elastic and inelastic neutron scattering and the dynamic structure factor.

Electron-Phonon Interactions. The superconducting state; the BCS Hamiltonian; the ground state function and the energy gap; the transition temperature; the Meissner effect; tunnelling experiments; flux quantization and the Josephson effect; the Ginzburg-Landau equations; high temperature superconductivity. Light-Matter Interactions. Single particle approximation; excitons; polaritons; light scattering; interband dynamics. Whilst covering the traditional topics of older textbooks, it also takes up new developments in theoretical concepts and materials that are connected with such breakthroughs as the quantum-Hall effects, the high-Tc superconductors, and the low-dimensional systems realized in solids.

Thus besides providing the fundamental concepts to describe the physics of the electrons and ions comprising the solid, including their interactions, the book casts a bridge to the experimental facts and gives the reader an insight into current research fields. A compilation of problems makes the book especially valuable to students.

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