Far from equilibrium steady statesof 1D-Schrodinger-Poisson systems with quantum wells II

摘要

This article continues the asymptotic analysis of a nonlinearSchrodinger-Poisson system which models in a far from equilibrium regime the quan-tum transport in electronic devices like resonant tunneling diodes. Within the re-duction to an h-dependent linear problem with uniform regularity estimates for thepotential already established in the first part, explicit computations of the asymptoticfinite dimensional nonlinear system are derived. They rely on an accurate (phase-space) analysis of the tunnel effect which relies on some kind of Breit-Wigner formulaand Fermi golden rule.