Novel open-system integral boundary conditions for the time-dependent Schrodinger equation for resonant-tunneling diodes

We present a novel formulation of boundary conditions which model the inter action of open systems such as resonant-tunneling diodes with particle rese rvoirs at the device boundaries. These boundary conditions are non-Markovia n, i.e., at a certain moment of time they are dependent on the whole pre-hi story of the system. We further demonstrate that boundary conditions may be effectively incorporated into numerical simulations of resonant-tunneling diode characteristics by directly solving the time-dependent Schrodinger eq uation and that these boundary conditions make it possible to model both tr ansient and periodic processes in resonant-tunneling diodes and in other op en systems.