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arXiv · 2005.14591

Gaussian fluctuations from random Schr\"odinger equation

Yu Gu·Tomasz Komorowski
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Abstract

We study the Schr\"odinger equation driven by a weak Brownian forcing, and derive Gaussian fluctuations in the form of a time-inhomogeneous Ornstein-Uhlenbeck process. As a result, when evaluated at a fixed frequency, the intensity of the incoherent wave is of exponential distribution.

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Yu Gu, Tomasz Komorowski. 2020-05-29. Gaussian fluctuations from random Schr\"odinger equation. https://arxiv.org/abs/2005.14591

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