Multigrid solution of a path integral formulation for the hydrogen atom
Quantum Physics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0405104,
title = {Multigrid solution of a path integral formulation for the hydrogen atom},
author = {Dov Bai},
journal= {arXiv preprint arXiv:quant-ph/0405104},
year = {2007}
}
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9 pages