It is shown that in one-dimensional mesoscopic structures the electron
-electron interaction leads to qualitatively new effects in the dynami
c conductivity which are best manifested in the frequency dependence o
f the impedance. Interelectronic repulsion increases the resistance an
d narrows the resonance dips of the resistance at transit frequencies.
Interelectronic attraction gives rise to resonance peaks of the resis
tance against a high-conductivity background. These effects are due to
the reflection of bosonic excitations of a Luttinger liquid from the
boundaries of a quantum channel with current-lead electrodes and to re
sonances of these excitations over the length of the channel. (C) 1997
American Institute of Physics.