随机力学中的量子动力学
Quantum Dynamics in Stochastic Mechanics
摘要：
研究了真空中的非耗散布朗运动。在这项工作中，与随机过程相关的噪声源假设是能够与大质量粒子相互作用的量子场的真空涨落。对于相关的福克-普朗克方程，我们做了一个微扰理论，它的动力学项类似于量子理论中的概率振幅所满足的动力学项，即使物理解释是经典的。特别是经典观测值的预期值与使用量子力学计算的值一致。
英文摘要：
A study of the non-dissipative Brownian motion in vacuum is presented. The noise source associated to the stochastic process assumed in this work is vacuum fluctuations of some quantum field capable of interact with a massive particle. For the associated Fokker-Planck equation we do a perturbation theory which has terms presenting dynamics similar to that satisfied by the probability amplitude in Quantum Theory even though the physical interpretation be classical. In particular classical observables present expected values that coincide with those calculated using Quantum Mechanics.
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