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arXiv 0910.0794cond-mat.other
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标量场的波动方程与超流体

Wave equation of the scalar field and superfluids

A. Naddeo, G. Scelza

摘要:

超流系统和宇宙学之间的新的形式类比,通过考虑真空对声波量子的反作用\cite{noi}而出现,使我们能够提出这两个不同物理领域之间的一些共同特征。我们发现的条件,使我们能够证明广义相对论(GR)推导的流体动力学方程的超流体在四维空间的度量是Unruh一个\cite{Unruh}。此外,我们展示了如何,在特定的情况下考虑,我们的流体动力学方程可以推导出一个四维空间内的波动方程的无质量标量场。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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