Abstract
The equilibrium properties and dynamic response of quasi-one-dimensional electron systems (1DES) have been calculated for a confinement modelled by a harmonic oscillator potential. These calculations are compared with self-consistently calculated 1D subband separations in a split-gate configuration. It is shown that in the limit of a vanishing occupation the classical dynamic response frequency coincides with the subband separation. With increasing number of occupied 1D subbands the dynamic response frequency decreases slightly whereas the subband separation decreases drastically. Thus, for a large number of occupied 1D subbands, the dynamic response frequency is significantly higher than the 1D subband separation as is observed in experiments.
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