dorsal/arxiv
View SchemaVariational Monte Carlo for Microscopic Cluster Models
| Authors | Theodoros Leontiou, Niels R. Walet |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406048 |
| URL | https://arxiv.org/abs/nucl-th/0406048 |
| DOI | 10.1142/S0129183104006753 |
| Journal | Int.J.Mod.Phys. C15 (2004) 1329-1352 |
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 analyse 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.
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"abstract": "We examine the application of the Variational Monte Carlo (VMC) method to a\ncluster model for halo nuclei. Particular attention is paid to the error\nestimate in the presence of correlations in the underlying random walk. We\nanalyse the required steps for a reliable application of the VMC in the case of\na complicated many-body problem such as the direct solution of the nuclear\nhamiltonian with realistic interactions. We also examine the possibility of\nvariance reduction through the `zero variance principle\u0027, paying particular\nattention to the complexity of the many-body problem.",
"arxiv_id": "nucl-th/0406048",
"authors": [
"Theodoros Leontiou",
"Niels R. Walet"
],
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"nucl-th"
],
"doi": "10.1142/S0129183104006753",
"journal_ref": "Int.J.Mod.Phys. C15 (2004) 1329-1352",
"title": "Variational Monte Carlo for Microscopic Cluster Models",
"url": "https://arxiv.org/abs/nucl-th/0406048"
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