Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592398 | Journal of Functional Analysis | 2007 | 94 Pages |
Abstract
We consider the long time behavior of a quantum particle in a 2D magnetic field which is homogeneous of degree −1. If the field never vanishes, above a certain energy the associated classical dynamical system has a globally attracting periodic orbit in a reduced phase space. For that energy regime, we construct a simple approximate evolution based on this attractor, and prove that it completely describes the quantum dynamics of our system.
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Physical Sciences and Engineering
Mathematics
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