Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896731 | Journal of Functional Analysis | 2018 | 26 Pages |
Abstract
We prove a representation for the average wave function of the Schrödinger equation with a white noise potential in d=1,2, in terms of the renormalized self-intersection local time of a Brownian motion.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yu Gu, Tomasz Komorowski, Lenya Ryzhik,