Pilot-wave quantum theory in discrete space and time and the principle of least action
| Autor: | Gluza, Janusz, Kosek, Jerzy |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10701-016-0026-7 |
| Popis: | 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 $|\Psi|^2$-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. Comment: 9 pages, 7 figs, accepted for publication in Foundations of Physics |
| Databáze: | arXiv |
| Externí odkaz: |
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