Spiraling attractors and quantum dynamics for a class of long-range magnetic fields

Horia Decebal Cornean, Ira Herbst, Erik Skibsted

Publikation: Bog/antologi/afhandling/rapportRapportForskning

Abstrakt

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.
OriginalsprogEngelsk
UdgivelsesstedDepartment of Mathematical Sciences
ForlagAalborg Universitetsforlag
Antal sider109
StatusUdgivet - 2002
NavnResearch Report Series
NummerR-02-2015

Citationsformater