VARIATIONAL MONTE CARLO FOR MICROSCOPIC CLUSTER MODELS

Theodoros Leontiou () and Niels R. Walet ()
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Theodoros Leontiou: Department of Physics, UMIST, P. O. Box 88, Manchester M60 1QD, UK
Niels R. Walet: Department of Physics, UMIST, P. O. Box 88, Manchester M60 1QD, UK

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 10, 1329-1351

Abstract: We examine the application of the Variational Monte Carlo (VMC) method to a cluster model for halo nuclei. Particular attention is paid to the error estimate in the presence of correlations in the underlying random walk. We analyze the required steps for a reliable application of the VMC in the case of a complicated many-body problem, such as the direct solution of the nuclear Hamiltonian with realistic interactions. We also examine the possibility of variance reduction through the "zero variance principle", paying particular attention to the complexity of the many-body problem.

Keywords: Variational; Monte Carlo; correlations; realistic interactions; variance reduction (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006753

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