Electron states in a quasi-one-dimensional charge channel over liquid helium in the presence of a transverse magnetic field

Abstract

Calculations are carried out for single-particle energy levels and wave functions for electrons in a quasi-one-dimensional charge channel formed on the surface of liquid helium. The expressions for the spectrum are obtained for two different orientations of the magnetic field perpendicular to the channel. The conditions for the applicability of the formulas derived are established and they can be used in experimental studies of spectroscopic transitions between