A theoretical parallel between the classical Brownian motion and quantum mechanics is explored via two stochastic sources. It is shown that, in contrast to the classical Langevin force, quantum mechanics is driven by turbulent velocity fluctuations with diffusive behavior. In the case of simultaneous action of the thermal and quantum noises, the quantum Brownian motion is described as well.

中文翻译：

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布朗运动和量子力学

通过两个随机源探索了经典布朗运动和量子力学之间的理论平行。结果表明，与经典的朗之万力相比，量子力学是由具有扩散行为的湍流速度波动驱动的。在热噪声和量子噪声同时作用的情况下，也描述了量子布朗运动。