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

2013/07/24 by Biagio Cassano, Cassano, Biagio, Luca Fanelli +1 · 3 citations
Mathematics · #35J10 #35L05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1307.6428

openalex publication_date 2013/07/24 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We prove a sharp version of the Hardy uncertainty principle for Schr "odinger\nequations with external bounded electromagnetic potentials, based on\nlogarithmic convexity properties of Schr "odinger evolutions. We provide, in\naddition, an example of a real electromagnetic potential which produces the\nexistence of solutions with critical gaussian decay, at two distinct times.\n

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