Abstract
The approximations necessary to obtain the model of Visscher and Falicov for a layered electron gas are discussed. The Hamiltonian is generalized to include the electron tunneling between adjacent planes. The plasma frequency is calculated in the random-phase approximation using equation-of-motion method. It shows a very strong anisotropy, depending on the angle between the wave vector of the plasma wave and the perpendicular direction to the layered structure.

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