Multigrid solution of a path integral formulation for the hydrogen atom

Details Multigrid solution of a path integral formulation for the hydrogen atom Multigrid solution of a path integral formulation for the hydrogen atom

2004-05-18

arxiv.org/abs/quant-ph/0405104v1

Physics

Quantum Physics

9 pages

Scientific paper

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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