A Magnetic Contribution to the Hardy Inequality

A Magnetic Contribution to the Hardy Inequality

We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2013-01
Hauptverfasser: Ekholm, Tomas, Portmann, Fabian
Format: Artikel
Sprache:eng
Schlagworte:
Kinetic energy
Lower bounds
Magnetic fields
Magnetic properties
Mathematics - Mathematical Physics
Mathematics - Spectral Theory
Physics - Mathematical Physics
Quadratic forms
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential term depending on properties of the magnetic field.
ISSN:2331-8422
DOI:10.48550/arxiv.1301.0709