dorsal/arxiv
View SchemaMultigrid solution of a path integral formulation for the hydrogen atom
| Authors | Dov Bai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405104 |
| URL | https://arxiv.org/abs/quant-ph/0405104 |
Abstract
An efficient multigrid Monte-Carlo algorithm for calculating the ground state of the hydrogen atom using path integral is presented. The algorithm uses a unigrid approach. The action integral near r=0 is modified so that the correct values of observables are obtained. It is demonstrated that the critical slow down (CSD) is eliminated. Finally, the algorithm is compared to the staging algorithm.
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"date_created": "2026-03-02T18:02:06.396000Z",
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"abstract": "An efficient multigrid Monte-Carlo algorithm for calculating the ground state\nof the hydrogen atom using path integral is presented. The algorithm uses a\nunigrid approach. The action integral near r=0 is modified so that the correct\nvalues of observables are obtained. It is demonstrated that the critical slow\ndown (CSD) is eliminated. Finally, the algorithm is compared to the staging\nalgorithm.",
"arxiv_id": "quant-ph/0405104",
"authors": [
"Dov Bai"
],
"categories": [
"quant-ph"
],
"title": "Multigrid solution of a path integral formulation for the hydrogen atom",
"url": "https://arxiv.org/abs/quant-ph/0405104"
},
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