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Cited by 957

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

A random-walk simulation of the Schrödinger equation: H+3

Anderson, James B.·1975·The Journal of Chemical Physics
DOI 10.1063/1.431514
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Abstract

A simple random-walk method for obtaining ab initio solutions of the Schrödinger equation is examined in its application to the case of the molecular ion H+3 in the equilateral triangle configuration with side length R=1.66 bohr. The method, which is based on the similarity of the Schrödinger equation and the diffusion equation, involves the random movement of imaginary particles (psips) in electron configuration space subject to a variable chance of multiplication or disappearance. The computation requirements for high accuracy in determining energies of H+3 are greater than those of existing LCAO–MO–SCF–CI methods. For more complex molecular systems the method may be competitive.

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Metadata

Authors
Anderson, J. B.
Venue
The Journal of Chemical Physics
Publisher
AIP Publishing
Published
1975-08-15
Volume
63
Issue
4
Pages
1499-1503
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
DOI
10.1063/1.431514
OpenAlex
W2061620672
Cited by
957
References
4
FWCI
1.68
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A random-walk simulation of the Schrödinger equation: H+3. https://app.cochat.ai/papers/10.1063/1.431514
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Anderson, J. B. (1975). A random-walk simulation of the Schrödinger equation: H+3. The Journal of Chemical Physics. https://doi.org/10.1063/1.431514

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.