Charge and spin density excitations in symmetry driven bilayer electron system in high magnetic field

The effect of space symmetry on magnetoplasmon charge density and spin density excitations in a weakly tunnel coupled bilayer electron system is considered. The magnetic field corresponds to the filling factor ν=4. The energy of optic magnetoplasmon and the energy of intralayer magnetoexciton are not affected by space symmetry. Three other collective magnetoplasmon modes just as three magnetoexciton modes are determined by relations between asymmetry parameters, tunnel parameter and the difference in energies of intralayer and interlayer magnetoexcitons.