The 1D Schr\"odinger equation with a spacetime white noise: the average wave function
Probability
2019-05-14 v2 Mathematical Physics
math.MP
Abstract
For the 1D Schr\"odinger equation with a mollified spacetime white noise, we show that the average wave function converges to the Schr\"odinger equation with an effective potential after an appropriate renormalization.
Cite
@article{arxiv.1804.06525,
title = {The 1D Schr\"odinger equation with a spacetime white noise: the average wave function},
author = {Yu Gu},
journal= {arXiv preprint arXiv:1804.06525},
year = {2019}
}
Comments
10 pages, minor revision