CAPILLARY WAVES IN HE-3-HE-4 SOLUTIONS AND THE PROPERTIES OF LOCALIZED-ELECTRONS ON THE HELIUM SURFACE

We derive the dispersion of capillary waves (ripplons) in a microstrat ified He-3 phase above a He-3-He-4 solution substrate. Both the real a nd imaginary parts of the ripplon frequencies are evaluated by taking into account the essential process of viscous damping. The influence o f these surface modes on the well-known system formed by electrons tra pped at the surface of liquid helium is investigated. We show that the low-damped capillarylike surface mode, found in the microstratified s olution, interacting with the surface electrons determines their dynam ical properties at low temperatures.