(Quasi-) one- and zero-dimensional electron systems can be created using a
suspended helium film on a structured substrate. To investigate the relatio
n between the curved surface and the properties of the electron system, the
suspended helium film profile in a quasi-one-dimensional channel is measur
ed interferometrically. It is shown that the film thickness decreases when
the surface is charged with electrons at a density > 10(9) cm(-2). (C) 2000
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