We study the Schrodinger equation driven by a weak Brownian forcing, and derive Gaussian fluctuations in the form of a time-inhomogeneous Ornstein-Uhlenbeck process. This implies the intensity of the incoherent wave is of exponential distribution, as predicted in the physics literature.

中文翻译：

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来自随机薛定谔方程的高斯涨落

我们研究了由弱布朗强迫驱动的薛定谔方程，并以时间不均匀的 Ornstein-Uhlenbeck 过程的形式推导出高斯波动。这意味着非相干波的强度呈指数分布，正如物理学文献中预测的那样。