From ballistic motion to localization: a phase space analysis |
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| Authors: | A. Wobst G.-L. Ingold P. Hänggi D. Weinmann |
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| Affiliation: | 1.Institut für Physik, Universit?t Augsburg, Universit?tsstrasse 1, 86135 Augsburg, Germany,DE;2.Institut de Physique et Chimie des Matériaux de Strasbourg, 23 rue du Loess, 67037 Strasbourg Cedex, France,FR |
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| Abstract: | We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates. Received 5 March 2002 |
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| Keywords: | PACS. 05.60.Gg Quantum transport – 71.23.An Theories and models localized states – 05.45.Pq Numerical simulations of chaotic models |
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