INTERACTION CONSTANTS AND DYNAMIC CONDUCTANCE OF A GATED WIRE

We show that the interaction constant governing the long-range electro n-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a low-frequency m easurement. We present a self-consistent, charge and current conservin g, theory of the full conductance matrix. The collective excitation sp ectrum consists of plasma modes with a relaxation rate which increases with the interaction strength and is inversely proportional to the le ngth of the wire.