The Partial Averaging method

Abstract

The partial averaging technique is defined and used in conjunction with the random series implementation of the Feynman-Kac formula. It enjoys certain properties such as good rates of convergence and convergence for potentials with coulombic singularities. In this work, I introduce the reader to the technique and I analyze the basic mathematical properties of the method. I show that the method is convergent for all Kato-class potentials that have finite Gaussian transform.

9 pages, no figures; one reference corrected

References in corpus (3)

• The 2-D electron gas at arbitrary spin polarizations and arbitrary coupling strengths: Exchange-correlation energies, distribution functions and spin-polarized phases
• Optimal series representations for numerical path integral simulations
• Quantum Monte Carlo Method for Attractive Coulomb Potentials

Cited by in corpus (4)

• Numerical implementation of some reweighted path integral methods
• Upon the existence of short-time approximations of any polynomial order for the computation of density matrices by path integral methods
• On the efficient Monte Carlo implementation of path integrals
• Moments of spectral functions: Monte Carlo evaluation and verification