| Issue |
ESAIM: PS
Volume 23, 2019
|
|
|---|---|---|
| Page(s) | 338 - 349 | |
| DOI | https://doi.org/10.1051/ps/2019010 | |
| Published online | 17 June 2019 | |
The 1D Schrödinger equation with a spacetime white noise: the average wave function
Department of Mathematical Sciences, Carnegie Mellon University,
Pittsburgh,
PA 15213, USA.
* Corresponding author: yug2@andrew.cmu.edu
Received:
27
September
2018
Accepted:
13
May
2019
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.
Mathematics Subject Classification: 35R60 / 60H15 / 35Q40
Key words: Random Schrödinger equation / renormalization / path integral
© EDP Sciences, SMAI 2019
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