量子与随机系统测不准关系的推广
Generalization of Uncertainty Relation for Quantum and Stochastic Systems
摘要：
在随机变分方法中导出了适用于量子和随机系统的广义测不准关系。这个关系不仅再现了量子力学中著名的不等式，而且适用于Gross-Pitaevskii方程和Navier-Stokes-Fourier方程，表明位置和动量之间的有限最小不确定性不是量子力学的固有性质，而是随机系统的共同特征.我们进一步讨论了本研究在讨论流体动力学图像的微观系统，如相对论性重离子碰撞的应用中可能的含义。
英文摘要：
The generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This relation not only reproduces the well-known inequality in quantum mechanics but also is applicable to the Gross-Pitaevskii equation and the Navier-Stokes-Fourier equation, showing that the finite minimum uncertainty between the position and the momentum is not an inherent property of quantum mechanics but a common feature of stochastic systems. We further discuss the possible implication of the present study in discussing the application of the hydrodynamic picture to microscopic systems, like relativistic heavy-ion collisions.
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