From 6bb2f5a429edbc41749c61f6f962654336909ba6 Mon Sep 17 00:00:00 2001 From: Ian Jauslin Date: Tue, 28 Feb 2023 16:12:24 -0500 Subject: Add acknowledgements and reference to [Ja23] --- Jauslin_2023.tex | 7 +++++++ 1 file changed, 7 insertions(+) (limited to 'Jauslin_2023.tex') diff --git a/Jauslin_2023.tex b/Jauslin_2023.tex index c813122..e2a31b0 100644 --- a/Jauslin_2023.tex +++ b/Jauslin_2023.tex @@ -80,6 +80,7 @@ The {\it condensate fraction} is defined as the proportion of particles in the c The momentum distribution is an extension of the condensate fraction to a more general family of states. In particular, computing $\mathcal M(k)$ for $k\neq 0$ amounts to counting particles that are {\it not} in the condensate. This quantity has been used in the recent proof\-~\cite{FS20,FS22} of the energy asymptotics of the Bose gas at low density. +A numerical computation of the prediction of the Simplified approach for $\mathcal M(k)$ have been published in\-~\cite{Ja23b}. \bigskip \indent @@ -1690,6 +1691,12 @@ so by\-~(\ref{erho}), This, together with\-~(\ref{final1}), implies\-~(\ref{Msimpleqbog}). \qed +\bigskip +\bigskip + +\hfil{\bf Acknowledgements}\par +The author thanks Elliott H. Lieb, Eric A. Carlen and Markus Holzmann for many valuable discussions. +The author acknowledges support from the Simons Foundation, Grant Number\-~825876. \vfill \eject -- cgit v1.2.3-70-g09d2