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In the present paper the linearized problem of plasma oscillations in slab(particularly, thin films) in external longitudinal alternating electric fieldis solved analytically. Specular boundary conditions of electron reflectionfrom the plasma boundary are considered. Coefficients of continuous anddiscrete spectra of the problem are found, and electron distribution functionon the plasma boundary and electric field are expressed in explicit form.Absorption of energy of electric field in slab is calculated.

Landau's Problem of Degenerate Plasma Oscillations in Slab with Specular Boundary Conditions