The Schroedinger Equation with Potential in Random Motion
Mathematical Physics
2011-11-22 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1111.4584,
title = {The Schroedinger Equation with Potential in Random Motion},
author = {Marius Beceanu and Avy Soffer},
journal= {arXiv preprint arXiv:1111.4584},
year = {2011}
}
Comments
16 pages