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.
Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions / Cassano, Biagio; Fanelli, Luca. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 367:3(2015), pp. 2213-2233.
Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions
CASSANO, BIAGIO;FANELLI, Luca
2015
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.File allegati a questo prodotto
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