Wave equation of the scalar field and superfluids
Other Condensed Matter
2013-01-17 v2
Abstract
The new formal analogy between superfluid systems and cosmology, which emerges by taking into account the back-reaction of the vacuum to the quanta of sound waves \cite{noi}, enables us to put forward some common features between these two different areas of physics. We find the condition that allows us to justify a General Relativity (GR) derivation of the hydrodynamical equation for the superfluid in a four-dimensional space whose metric is the Unruh one \cite{Unruh}. Furthermore we show how, in the particular case taken into account, our hydrodynamical equation can be deduced within a four-dimensional space from the wave equation of a massless scalar field.
Keywords
Cite
@article{arxiv.0910.0794,
title = {Wave equation of the scalar field and superfluids},
author = {A. Naddeo and G. Scelza},
journal= {arXiv preprint arXiv:0910.0794},
year = {2013}
}
Comments
Accepted for publication in Modern Physics Letters A