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Publication 18-CNA-009

The 1D Schrödinger equation with a spacetime white noise: the average wave function

Yu Gu
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA
yug2@andrew.cmu.edu

Abstract: For the 1D Schrödinger equation with a mollified spacetime white noise, we show that the average wave function converges to the equation with an effective potential after an appropriate renormalization.

Get the paper in its entirety as  18-CNA-009.pdf


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