We prove a sharp version of the Hardy uncertainty principle for Schrödinger equations with external bounded electromagnetic potentials, based on logarithmic convexity properties of Schrödinger evolutions. We provide, in addition, an example of a real electromagnetic potential which produces the existence of solutions with critical gaussian decay, at two distinct times.

Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions

Cassano, B.;
2015

Abstract

We prove a sharp version of the Hardy uncertainty principle for Schrödinger equations with external bounded electromagnetic potentials, based on logarithmic convexity properties of Schrödinger evolutions. We provide, in addition, an example of a real electromagnetic potential which produces the existence of solutions with critical gaussian decay, at two distinct times.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/249973
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