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