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Recursive formulation of Madelung continuity equation leads to propagation equation

 
: Heim, Dennis

:

Journal of Mathematical Physics 59 (2018), Nr.12, Art. 122101, 7 S.
ISSN: 0022-2488
ISSN: 1089-7658
CODEN: JMAPAQ
Englisch
Zeitschriftenaufsatz
Fraunhofer ITWM ()

Abstract
We apply a recursive approach to the continuity equation of the Madelung fluid resulting in a propagation equation for particle probability densities. This propagation equation can be used to propagate particle distributions in the presence of a Madelung pressure field. We show that the derived propagation equation goes over into the guidance equation of the de Broglie-Bohm theory in the limit of well located single particles. As an example, we propagate particles that enter the lower slit of a double-slit experiment, while the Madelung fluid enters both slits.

: http://publica.fraunhofer.de/dokumente/N-534741.html