F. Delyon
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View article: Fixed-phase approximation and Diffusion Quantum Monte Carlo
Fixed-phase approximation and Diffusion Quantum Monte Carlo Open
We present a simple approach to the fixed phase method in Quantum Monte Carlo. This applies to electrons in molecules and electron gas and is straightforwardly extended to the Schrödinger equation with magnetic field.
View article: Periodic ground states of the electron gas in two and three dimensions
Periodic ground states of the electron gas in two and three dimensions Open
In this paper, we review the possibility of periodic ground states of the two‐ and three‐dimensional electron gas at high and intermediate densities. At the Hartree–Fock level, we obtain explicit solutions at all densities having lower ene…
View article: Confidence and efficiency scaling in variational quantum Monte Carlo calculations
Confidence and efficiency scaling in variational quantum Monte Carlo calculations Open
Based on the central limit theorem, we discuss the problem of evaluation of the statistical error of Monte Carlo calculations using a time-discretized diffusion process. We present a robust and practical method to determine the effective v…