The Schroedinger Equation with Potential in Random Motion

2011/11/19 by Marius Beceanu, Avy Soffer, Beceanu, Marius +1 · 1 citation
Mathematics · Physics and Astronomy · #35J10 #35Q40 #35Q41 #60J65 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #advanced mathematical theories #math-ph #math.AP #math.MP #msc:35J10 #msc:35Q40 #msc:35Q41 #msc:60J65

paper · pdf · doi:10.48550/arxiv.1111.4584

16 pages

arxiv created 2011/11/19 · openalex publication_date 2011/11/19 · arxiv updated 2011/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study Schroedinger's equation with a potential moving along a Brownian motion path. We prove a RAGE-type theorem and Strichartz estimates for the solution on average.

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• L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications

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