Quantum dynamics in random media and localization lengths in dimension 3
نویسنده
چکیده
We report on recent work, [1], concerning lower bounds on the localization length of eigenfunctions in the three-dimensional Anderson model at weak disorders, that uses an extension of methods developed by L. Erdös and H.-T. Yau. Our results are similar to those obtained by C. Shubin, W. Schlag and T. Wolff, [8], for dimensions one and two. Furthermore, we show that the macroscopic limit of the corresponding lattice random Schrödinger dynamics is governed by the linear Boltzmann equations.
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تاریخ انتشار 2003