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

Transparent boundary conditions for time-dependent electron transport in the R-matrix method with applications to nanostructured interfaces