From 5aeb6c3c92d6bce756ce1c916f84ca1c071bb795 Mon Sep 17 00:00:00 2001
From: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date: Tue, 2 Feb 2021 23:07:15 +0100
Subject: [PATCH] Add formula for weight

---
 QMC.org | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/QMC.org b/QMC.org
index ca50527..c0d6901 100644
--- a/QMC.org
+++ b/QMC.org
@@ -2235,7 +2235,11 @@ gfortran hydrogen.f90 qmc_stats.f90 vmc_metropolis.f90 -o vmc_metropolis
     where $\chi$ is a Gaussian random variable, and the potential term 
     can be simulated by creating or destroying particles over time (a
     so-called branching process) or by simply considering it as a
-    cumulative multiplicative weight along the diffusion trajectory.
+    cumulative multiplicative weight along the diffusion trajectory:
+
+   \[
+   \exp \left( \int_0^\tau - (E_L(\mathbf{r}_t) - E_{\text{ref}}) dt \right)
+   \]
 
     
     We note that the ground-state wave function of a Fermionic system is