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Changed: title.

  Added: comment in caption of Fig 1 on the dimensionless nature of all
  figures.
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Ian Jauslin 2021-03-24 18:37:22 -04:00
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Carlen_Holzmann_Jauslin_Lieb_2020.tex
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@ -15,7 +15,7 @@
\begin{document} \begin{document}
\title{A fresh look at a simplified approach to the Bose gas} \title{A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy}
\author{Eric A. Carlen} \author{Eric A. Carlen}
\affiliation{\it Department of Mathematics, Rutgers University} \affiliation{\it Department of Mathematics, Rutgers University}
@ -483,6 +483,7 @@ For $\alpha=16$ this is even clearer, and one sees that the Medium Equation is m
The energy as a function of density for the potential $e^{-|\mathbf x|}$ (top) and $16e^{-|\mathbf x|}$ (bottom). The energy as a function of density for the potential $e^{-|\mathbf x|}$ (top) and $16e^{-|\mathbf x|}$ (bottom).
We compare the predictions of the Big, Medium and Simple Equations to a QMC simulation. We compare the predictions of the Big, Medium and Simple Equations to a QMC simulation.
For comparison, we also plot the Lee-Huang-Yang (LHY) energy\-~(\ref{lhy}). For comparison, we also plot the Lee-Huang-Yang (LHY) energy\-~(\ref{lhy}).
(All quantities plotted in this and the following figures are dimensionless.)
} }
\label{fig:energy} \label{fig:energy}
\end{figure} \end{figure}

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Changelog
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@ -1,3 +1,11 @@
v1.0:
* Changed: title.
* Added: comment in caption of Fig 1 on the dimensionless nature of all
figures.
v0.2: v0.2:
* Added: Comparison of the energy for two different potentials that share * Added: Comparison of the energy for two different potentials that share