Dispersion of a layered electron gas with nearest neighbour-tunneling

The dispersion of the first plasmon band is calculated within the Random Phase Approximation for a superlattice of two-dimensional electrongases, mutually interacting, and with nearest neighbour hopping between the planes. It is further shown that the deviations of this dispersion from the one in systems with zero interplane motion are very small in commonly realized experimental situations and that they are expected to be observable only in samples with plane distances of 150 Å and less.