Lighthill equation for quantum liquids
Quantum Physics
2021-10-27 v2 Quantum Gases
Abstract
A quantum version of the Lighthill equation that originated in the field of theoretical aeroacoustics is derived for the probability density of a superfluid starting from the time-dependent Gross-Pitaevskii equation. It involves a second-order time derivative and should be supplemented by two-time boundary conditions. Its physical implications are discussed in relation to the quantum equilibrium hypothesis and the general applicability of Born's rule.
Cite
@article{arxiv.2108.03080,
title = {Lighthill equation for quantum liquids},
author = {C. Dedes},
journal= {arXiv preprint arXiv:2108.03080},
year = {2021}
}
Comments
Related to arXiv:2106.13225