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| -rw-r--r-- | Carlen_Holzmann_Jauslin_Lieb_2020.tex | 3 | ||||
| -rw-r--r-- | Changelog | 8 |
2 files changed, 10 insertions, 1 deletions
diff --git a/Carlen_Holzmann_Jauslin_Lieb_2020.tex b/Carlen_Holzmann_Jauslin_Lieb_2020.tex index 67398df..93b8791 100644 --- a/Carlen_Holzmann_Jauslin_Lieb_2020.tex +++ b/Carlen_Holzmann_Jauslin_Lieb_2020.tex @@ -15,7 +15,7 @@ \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} \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). 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}). + (All quantities plotted in this and the following figures are dimensionless.) } \label{fig:energy} \end{figure} @@ -1,3 +1,11 @@ +v1.0: + + * Changed: title. + + * Added: comment in caption of Fig 1 on the dimensionless nature of all + figures. + + v0.2: * Added: Comparison of the energy for two different potentials that share |