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

Horia Cornean; Ira Herbst; Erik Skibsted

doi:10.1016/j.jfa.2006.04.032

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

Horia Cornean, Ira Herbst, Erik Skibsted

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

5 Citationer (Scopus)

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.

Udgivelsesdato: JUN 1

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	247
Udgave nummer	1
Sider (fra-til)	1-94
Antal sider	94
ISSN	0022-1236
DOI	https://doi.org/10.1016/j.jfa.2006.04.032
Status	Udgivet - 2007

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10.1016/j.jfa.2006.04.032

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AU - Herbst, Ira

AU - Skibsted, Erik

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AB - 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.

U2 - 10.1016/j.jfa.2006.04.032

DO - 10.1016/j.jfa.2006.04.032

M3 - Journal article

SN - 0022-1236

VL - 247

SP - 1

EP - 94

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

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

Abstract

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