A Magnetic Contribution to the Hardy Inequality
arXiv:1301.0709 · doi:10.1063/1.4863900
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.
22 pages