Abstract:
A method for deriving the kinetic equations describing the interactions of electrons with phohens
is described. The result was obtained without solving the equations for the simultaneous
correlation functions. The classical electron–phonon collision integral has a Fokker–Planck
form, while the quantum integral differs from the known Bloch theory expression by the consideration of polarization. Consideration of polarization leads to sound velocity change andto
the interaction of electrons by means of the exchange of virtual phonons. Using the collision
integrals obtained, the relaxation of the directionaI velocity and energy of electrons resulting
from electron-phonon collisions was considered. A model integral for electron-phonon collisions,
which correctly described such relaxation processes, was constructed.
Citation:
V. V. Belyi, Yu. L. Klimontovich, “Kinetic equations in an electron-phonon system”, TMF, 1:3 (1969), 421–429; Theoret. and Math. Phys., 1:3 (1969), 320–325