Wave equation of the scalar field and superfluids

Autor: Naddeo, A., Scelza, G.
Rok vydání: 2009
Předmět:
Zdroj: Mod.Phys.Lett.A Vol. 24, No. 40 : pp. 3249-3256 (2009)
Druh dokumentu: Working Paper
DOI: 10.1142/S0217732309032162
Popis: 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.
Comment: Accepted for publication in Modern Physics Letters A
Databáze: arXiv