Abstract
A simple one phonon model is used to treat the effects of the resonant polaron interaction on the de haas-van alphen oscillations in polar semiconductors. It is shown that particular maxima of the magnetic moment occurring at ef/aaoe omegac=1/2, 3/2, 5/2 etc, where ef, aaoe omegac are the fermi and cyclotron energies respectively, are expected to be suppressed whenever the electron concentration is such that the resonant conditions omega0/omegac=1, 2, 3 etc, where omega0=lattice longwave optic mode frequency, are simultaneously satisfied.