  A new scattering approach for correlated one-dimensional systems is
developed. The adiabatic contact to charge reservoirs is encoded in
time-dependent boundary conditions. The conductance matrix for an arbitrary
gated wire, respecting charge conservation, is expressed through a dynamic
scattering matrix. It is shown that the dc conductance is equal to e^2/h for
any model with conserved total left- and right-moving charges. The ac
conductance matrix is explicitly computated for the interacting
Tomonaga-Luttinger model.
