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arXiv 1801.00510quant-phhep-th
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路径积分中的量子力学与随机过程

Quantum Mechanical versus Stochastic Processes in Path Integration

Marco Patriarca

摘要:

通过使用路径积分,与量子概率密度的时间演化相关联的随机过程被正式地重写为随机微分方程,该随机微分方程由具有附加的乘性随机力的牛顿运动方程给出。然而,扮演随机力角色的术语是由一个非正定概率泛函定义的,这为量子力学的负(或“扩展”)概率特征提供了一个明确的例子。

英文摘要:

By using path integrals, the stochastic process associated to the time evolution of the quantum probability density is formally rewritten in terms of a stochastic differential equation, given by Newton's equation of motion with an additional multiplicative stochastic force. However, the term playing the role of the stochastic force is defined by a non-positive-definite probability functional, providing a clear example of the negative (or "extended") probabilities characteristic of quantum mechanics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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