A Magnetic Contribution to the Hardy Inequality [PDF]
Tomas Ekholm, Fabian PortmannWe 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.View original: http://arxiv.org/abs/1301.0709
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