Abstract
For the 1D Schrödinger equation with a mollified spacetime white noise, we show that the average wave function converges to the Schrödinger equation with an effective potential after an appropriate renormalization.
Subject
Statistics and Probability
Reference19 articles.
1. Allez R. and
Chouk K.,
The continuous Anderson Hamiltonian in dimension two. Preprint arXiv:1511.02718
(2015).
2. Asymptotics of the Solutions of the Random Schrödinger Equation
3. The Weak Coupling Limit for the Random Schrödinger Equation: The Average Wave Function
4. Debussche A. and
Martin J.,
Solution to the stochastic Schrödinger equation on the full space. Preprint arXiv:1707.06431
(2017).