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arXiv · 1307.6428

Sharp Hardy uncertainty principle and gaussian profiles of covariant Schr\"odinger evolutions

Biagio Cassano·Luca Fanelli
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Abstract

We prove a sharp version of the Hardy uncertainty principle for Schr\"odinger equations with external bounded electromagnetic potentials, based on logarithmic convexity properties of Schr\"odinger 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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Biagio Cassano, Luca Fanelli. 2013-07-24. Sharp Hardy uncertainty principle and gaussian profiles of covariant Schr\"odinger evolutions. https://arxiv.org/abs/1307.6428

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