Analytic solutions of the Madelung equation
Quantum Physics
2024-12-10 v1 Analysis of PDEs
Abstract
We present analytic self-similar solutions for the one, two and three dimensional Madelung hydrodynamical equation for a free particle. There is a direct connection between the zeros of the Madelung fluid density and the magnitude of the quantum potential.
Keywords
Cite
@article{arxiv.1703.10482,
title = {Analytic solutions of the Madelung equation},
author = {Imre F. Barna and Mihály A. Pocsai and László Mátyás},
journal= {arXiv preprint arXiv:1703.10482},
year = {2024}
}
Comments
10 pages, 3 figures