Volume 23, 2019
|Page(s)||338 - 349|
|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,
PA 15213, USA.
* Corresponding author: email@example.com
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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