02-452 Horia Cornean, Ira Herbst, Erik Skibsted

Spiral attractors and quantum dynamics for a class of long-range magnetic fields (1010K, Postscript) Nov 11, 02

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We consider the long time behavior of a quantum particle in a 2-D 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.

Files: 02-452.src( 02-452.keywords , preprint_CHS.ps )