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Title: Pilot-wave quantum theory in discrete space and time and the principle of least action
Authors: Gluza, Janusz
Kosek, Jerzy
Keywords: quantum mechanics; interpretations; Markov processes
Issue Date: 2016
Citation: Foundations of Physics, Vol. 46, iss. 11 (2016), s. 1502-1521
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.
DOI: 10.1007/s10701-016-0026-7
ISSN: 0015-9018
Appears in Collections:Artykuły (WNŚiT)

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