TRANSPORT-PROPERTIES IN RESONANT-TUNNELING HETEROSTRUCTURES

An adiabatic approximation in terms of instantaneous resonances to stu dy the steady-state and time-dependent transport properties of interac ting electrons in biased resonant tunneling heterostructures is used. This approach leads, in a natural way, to a transport model of large a pplicability consisting of reservoirs coupled to regions where the sys tem is described by a nonlinear Schrodinger equation, From the mathema tical point of view, this work is nonrigorous but may offer some fresh and interesting problems involving semiclassical approximation, adiab atic theory, nonlinear Schrodinger equations, and dynamical systems. ( C) 1996 American Institute of Physics.