Abstract
On the basis of the existing theory of ultrasonic attenuation, a model Hamiltonian is derived which has to replace the Fröhlich Hamiltonian, at least in an impure metal. Whilst the imaginary part of the phonon self-energy is easily connected with the ultrasonic attenuation constant, the same quantity of the electrons allows no conclusion on inelastic collisions in this case. Therefore, from the linear response function, a kinetic equation for the electrons is derived. It is found that the time between inelastic collisions with phonons increases if impurities are added to the metal.
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Schmid, A. Electron-phonon interaction in an impure metal. Z. Physik 259, 421–436 (1973). https://doi.org/10.1007/BF01397378
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DOI: https://doi.org/10.1007/BF01397378