Self-adaptive quadrature and numerical path integration

Citation data:

The Journal of Chemical Physics, ISSN: 0021-9606, Vol: 113, Issue: 7, Page: 2522-2529

Publication Year:
Usage 133
Downloads 86
Abstract Views 35
Full Text Views 12
Captures 3
Readers 3
Citations 2
Citation Indexes 2
Repository URL:;
Sabo, Dubravko; Doll, J. D.; Freeman, David L.
AIP Publishing; DigitalCommons@URI
Physics and Astronomy; Chemistry
article description
The role of the choice of numerical quadrature on the convergence properties of numerical path integration algorithms is discussed. It shown that, for restricted class of interaction potentials, Gauss moment methods are feasible. These self-adaptive, coordinate-domain methods break free of the limits on the convergence rates of quadrature error otherwise imposed by fixed, time-domain quadrature. When applicable, these methods appear to reduce the number of evaluations of the potential energy required for typical numerical path integral applications.