A Magnetic Contribution to the Hardy Inequality
Spectral Theory
2015-06-12 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1301.0709,
title = {A Magnetic Contribution to the Hardy Inequality},
author = {Tomas Ekholm and Fabian Portmann},
journal= {arXiv preprint arXiv:1301.0709},
year = {2015}
}
Comments
22 pages