离散时空中的导频波量子理论与最小action原理
Pilot-wave quantum theory in discrete space and time and the principle of least action
摘要：
提出了在离散时间格点上建立导频量子理论的思想。量子粒子的运动由一个$|Ψ|^2$分布的马尔可夫链描述。该过程的随机矩阵由离散形式的最小作用量原理得到。概率流是汉密尔顿原理的结果，马尔可夫过程的随机性被最小化。作为一个例子，研究了双缝实验中单粒子的随机运动。
英文摘要：
The idea of obtaining a pilot-wave quantum theory on a lattice with discrete time is presented. The motion of quantum particles is described by a $|Ψ|^2$-distributed Markov chain. Stochastic matrices of the process are found by the discrete version of the least-action principle. Probability currents are the consequence of Hamilton's principle and the stochasticity of the Markov process is minimized. As an example, stochastic motion of single particles in a double-slit experiment is examined.
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