Abstract
The effect of deformation phenomena on the spectrum of an electron localized on a thin helium film is investigated. It is shown that this effect can take place for both the transverse and the longitudinal part of the electron spectrum. The question of stability of the surface electronic states on thin helium films is discussed. It is noted that an effective interaction is possible between the electron system on the helium film surface and a system of thermal vortical excitations in the film. The presence of this interaction may exert, under certain conditions, a substantial influence on the structure of a single electron dimple on the helium film.
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