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arXiv · 1606.02883

Pilot-wave quantum theory in discrete space and time and the principle of least action

Janusz Gluza·Jerzy Kosek
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Abstract

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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Janusz Gluza, Jerzy Kosek. 2016-06-09. Pilot-wave quantum theory in discrete space and time and the principle of least action. https://doi.org/10.1007/s10701-016-0026-7

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