The far-infrared response of electron systems confined in a parabolic
potential is investigated experimentally. We present recent studies on
cyclotron resonance, intersubband resonance and hybrid modes using va
rious experimental techniques and geometries and compare our experimen
tal findings with theoretical results based on a generalization of Koh
n's theorem. We also focus on the far-infrared spectrum of so-called i
mperfect parabolic wells with intentionally induced deviations from id
eal parabolicity. Here, new symmetry-forbidden resonances are observed
which yield a sensitive test for a theoretical description. At finite
wavevector, intrasubband plasmonic excitations are also possible. We
study their dispersion and investigate their interaction with the inte
rsubband modes. If subjected to an in-plane magnetic field, the intras
ubband plasmon exhibits a strongly anisotropic dispersion which can be
directly related to so-called one-dimensional plasmons. Due to the si
mplicity of the confining potentials, most of our experimental results
can be explained in straightforward ways. Many of our results as well
as the theoretical descriptions directly apply to recent investigatio
ns of lateral nanostructures and thus may also serve for a better unde
rstanding of this rapidly developing field.