Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence

Recursive formulation of Madelung continuity equation leads to propagation equation

arXiv

Authors: Dennis M. Heim

Year

2016

Paper ID

42257

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

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.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2016 reference point for readers tracking recent quantum research.
We apply a recursive approach to the continuity equation of the Madelung fluid resulting in a propagation equation for particle probability densities.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.07518 [2] arXiv https://arxiv.org/abs/1611.07518 [3] Publisher https://arxiv.org/abs/1611.07518

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal • updated 2026-06-12 12:40:32

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.