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