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The Spectral Structure of the Electronic Black Box Hamiltonian

Matthias Westrich
(Universität Jena)
Math/Phys Seminar
Thursday, 15 August, 2013, at 11:15-12:15, in Aud. D4 (1531-219)
We give results on the absence of singular continuous spectrum of the one-particle Hamiltonian underlying the electronic black box model (EBB). The EBB has been one of the basic paradigms in the recent developments in non-equilibrium statistical mechanics. Our main motivation comes from the fact that the absence of singular continuous spectrum is crucial for the rigorous derivation of the Landauer-Büttiker formula, which relates the thermodynamical currents to the corresponding transmission coefficients. 

This talk is based on joint work with P. Grech and V. Jaksic.
Contact person: Jacob Schach Møller