TY - RPRT
T1 - Spiraling attractors and quantum dynamics for a class of long-range magnetic fields
AU - Cornean, Horia Decebal
AU - Herbst, Ira
AU - Skibsted, Erik
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
M3 - Report
T3 - Research Report Series
BT - Spiraling attractors and quantum dynamics for a class of long-range magnetic fields
PB - Aalborg Universitetsforlag
CY - Department of Mathematical Sciences
ER -