A reweighted random series method for stereographic projection path integrals.
A set of general reweighted random series methods for metric affine spaces is developed. The extension of the theorems to metric affine spaces demands the introduction of a configuration-independent reference metric tensor; this geometric object is used to treat the path expansion coefficients beyond the core path, in both the partial averaging and the reweighted random series approach. Numerical tests are conducted by simulating a particle in a ring. The reweighted random series results show better convergence properties and better statistical quality at a fraction of the cost compared with the related partial averaging simulation.
Curotto
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Department of Chemistry and Physics, Arcadia University, Glenside, Pennsylvania 19038, USA. curotto@arcadia.edu