The spectrum and damping factor of plasma and magnetoplasma waves in a
two-dimensional electron gas at low temperatures are calculated, taki
ng into account local electron states at impurity atoms. It is shown t
hat localization of electrons decreases the frequency of long-wave pla
smons and rearranges the magnetoplasma spectrum in the vicinity of res
onant frequencies of electron transitions between the Landau levels an
d local levels. As a result, the plasma absorption peak is displaced t
owards low frequencies, and the magnetoplasma peak splits. The charact
eristics of plasmons and magnetoplasmons are calculated for parameters
of the inversion layer at the boundary between silicon and silicon di
oxide. (C) 1997 American Institute of Physics. [S1063-777X(97)01111-0]
.