We give a short presentation of two recent results. The firrst one is a rigorous proof of the Landauer-Büttiker formula, and the second one concerns resonant quantum transport. The detailed results are in . In the last section we present the results of some numerical computations on a model system.Concerning the literature, then see the starting point of our work, . In  a related, but different, problem is studied. See also  and the recentwork .
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