  Transparent boundary conditions for the time-dependent Schrodinger equation
are implemented using the R-matrix method. The employed scattering formalism is
suitable for describing open quantum systems and provides the framework for the
time-dependent coherent transport. Transmission and reflection of wave
functions at the edges of a finite quantum system are essential for an accurate
and efficient description of the time-dependent processes on large time scales.
The approach is used here to describe time-dependent transport across
nanostructured interfaces relevant for photovoltaic applications.
