The Partial Averaging method

Details The Partial Averaging method The Partial Averaging method

2002-09-27

arxiv.org/abs/math-ph/0209058v3

J. Math. Phys. 44, 1226 (2003)

Physics

Mathematical Physics

9 pages, no figures; one reference corrected

Scientific paper

10.1063/1.1541933

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.

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