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arXiv · 1301.0709

A Magnetic Contribution to the Hardy Inequality

Tomas Ekholm·Fabian Portmann
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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.

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Tomas Ekholm, Fabian Portmann. 2013-01-04. A Magnetic Contribution to the Hardy Inequality. https://doi.org/10.1063/1.4863900

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