The propagation of electromagnetic waves in layered conductors is investiga
ted theoretically for low temperatures, where it is extremely important to
take into account the energy quantization of the charge carriers by the mag
netic field. The quantum kinetic equation for the statistical operator is u
sed to calculate the quantum oscillations of the surface impedance over a w
ide range of frequencies omega. (C) 2000 American Institute of Physics. [S1
063- 777X(00)01402-X].