Electron-phonon interactions and Kohn anomalies

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Electron-phonon interactions

Phonons: Crystal Vibrations

Free electrons in lattice

Lattice Vibration and phonons in 1D

acoustical and optical phonon in 3D

Derivation of Hamiltonian electron-phonon coupling

The polaron problem

Electron-phonon interaction in the lattice model

Electrion-phonon interaction in the jellium model

Kohn anomalies

Examples