Electron-Phonon Interaction

The following sections are included:

• Perturbation computations for the electron-phonon system

• Zeroth-order Green's functions from equations of motion

• Field operators and single-electron Green's function

• Feynman rules for the effective electron-electron interaction

• Fourth-order corrections to the phonon Green's function

• Spectral function, renormalization constant, and effective mass

• Real and imaginary parts of the electron retarded self-energy

• Periodic Anderson model

• Fourth-order corrections to phonon Green's function at finite temperatures

• Time-ordered product of three operators

• Evaluation of Matsubara sums

• Generalized spin susceptibility of a free electron gas

• Pairing susceptibility

• Localized electrons

• Single impurity

• Discontinuity of the momentum distribution

• Multiparticle expectation value

• Friedel oscillations

• Plasma waves

• Fermi gas in a spin-dependent external field