1307.6428 (Biagio Cassano et al.)

Sharp Hardy uncertainty principle and gaussian profiles of covariant
Schrödinger evolutions    [PDF]

Biagio Cassano, Luca Fanelli

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.

View original: http://arxiv.org/abs/1307.6428