This paper is devoted to an averaging principle for multiscale stochastic fractional Schrödinger equation. This averaging principle can validate the effectiveness of the averaging method in fractional quantum mechanics; it ascertains the utility of the approximation obtained by averaging method. Unlike the stochastic heat equation, the smoothing effect of fractional Schrödinger semigroup is not enough to establish averaging principle; in order to overcome this difficulty, we use the vanishing viscosity method.

中文翻译：

---

多尺度随机分数阶Schrödinger方程的平均原理

本文致力于多尺度随机分数分数薛定ding方程的平均原理。这种平均原理可以验证平均方法在分数量子力学中的有效性。它确定了通过平均法获得的近似值的效用。与随机热方程不同，分数薛定ding半群的平滑作用不足以建立平均原理。为了克服这个困难，我们使用消失粘度法。