The shape of the potential barrier at a thin-film cathode with a quant
ized electron spectrum is investigated theoretically taking into accou
nt spatial dispersion effects, external field penetration and collecti
ve Fermi-liquid interactions in the system of filled electron states.
Quantum size effects lead to quasi-oscillatory dependences of screenin
g radius, affinity energy, work function, barrier height and external
field penetration into the film on film thickness. As a result of thes
e effects, at some critical thicknesses which are characteristic for t
he film material, the emission current from a thin-film cathode is pre
dicted to be substantially greater (by some orders of magnitude) than
that from the non-quantized bulk material.