A dynamic scattering approach for a gated interacting wire

A scattering approach for correlated one-dimensional systems is developed. The perfect contact to charge reservoirs is encoded in time-dependent bound ary conditions. The conductance matrix for an arbitrary gated wire, respect ing charge conservation, is expressed through a dynamic scattering matrix. Two applications are developed. First, it is shown that the de conductance is equal to e(2)/h for any model with conserved total left- and right-movin g charges. Second, the ac conductance matrix is explicitly computated for t he Tomonaga-Luttinger model (TLL).