  We solve analytically the Kadanoff-Baym equations for a noninteracting
junction connected to an arbitrary number of noninteracting wide-band
terminals. The initial equilibrium state is properly described by the addition
of an imaginary track to the time contour. From the solution we obtain the
time-dependent electron densities and currents within the junction. The final
results are analytic expressions as a function of time, and therefore no time
propagation is needed - either in transient or in steady-state regimes. We
further present and discuss some applications of the obtained formulae.
