ELECTRON-PHONON INTERACTION IN A MAGNETIC FIELD AT LOW TEMPERATURES. I (ELEKTRON-FONONNOE VZAIMODEISTVIE V MAGNITNOM POLE PRI NIZKIKH TEMPERATURAKH. I)

The article is a study of the change in the characteristics of the phonon spectrum as a function of the magnetic field. This change is particularly marked with strong magnetic fields, since the change in the Fermi surface in this case is considerable. The calculation is carried out by the known method of Green's functions at a temperature of absolute zero. Practically speaking, it is a question of temperatures much lower than the electron degeneracy temperature and the Debye temperature. To find the phonon spectrum, a solution is found to the Dyson equation for the Green's function of the phonon. On the above basis, the author proceeds to a mathematical solution of the problem posed. Unedited rough draft trans. of Fizika Nizkikh Temperatur (USSR) v1 n1 p76-80 1965, by F. Dion.