The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Quantum Monte Carlo for molecules: Green’s function and nodal release
Abstract
A random walk algorithm is presented which exactly calculates the properties of a many-electron system. For that purpose both the Green’s function Monte Carlo method and nodal relaxation have been employed and both are described in detail. The scheme is applied to several small molecules, (H3, LiH, Li2, H20) and with modest computational effort and simple importance functions, ground state energies are obtained which agree with experimental energies within statistical error bars. The small energy decrease due to nodal release is accurately evaluated by a difference method.
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Citations
Cites
Ground State of the Electron Gas by a Stochastic Method
Ceperley, D. M., & Alder, B. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.566 · Cited by 14,384
Self-citationHammersley, J. M., & Handscomb, D. C. (1964) · Springer eBooks · doi:10.1007/978-94-009-5819-7 · Cited by 4,054
Monte Carlo Methods in Statistical Physics
Newman, M. E. J., & Barkema, G. T. (1999) · doi:10.1093/oso/9780198517962.001.0001 · Cited by 3,165
Fixed-node quantum Monte Carlo for moleculesa) b)
Reynolds, P. J., Ceperley, D. M., Alder, B. J., & Lester, W. A. (1982) · The Journal of Chemical Physics · doi:10.1063/1.443766 · Cited by 1,076
Self-citationA random-walk simulation of the Schrödinger equation: H+3
Anderson, J. B. (1975) · The Journal of Chemical Physics · doi:10.1063/1.431514 · Cited by 957
Probability and Related Topics in Physical Sciences
Kac, M., Uhlenbeck, G. E., Hibbs, A. R., van der Pol, B., & Gillis, J. (1960) · Physics Today · doi:10.1063/1.3056918 · Cited by 655
Helium at zero temperature with hard-sphere and other forces
Kalos, M. H., Levesque, D., & Verlet, L. (1974) · Physical Review A · doi:10.1103/physreva.9.2178 · Cited by 569
Moskowitz, J. W., Schmidt, K. E., Lee, M. A., & Kalos, M. H. (1982) · The Journal of Chemical Physics · doi:10.1063/1.443612 · Cited by 214
Cited by
Kosloff, R., & Tal-Ezer, H. (1986) · Chemical Physics Letters · doi:10.1016/0009-2614(86)80262-7 · Cited by 705
A diffusion Monte Carlo algorithm with very small time-step errors
Umrigar, C. J., Nightingale, M. P., & Runge, K. J. (1993) · The Journal of Chemical Physics · doi:10.1063/1.465195 · Cited by 532
Constrained path Monte Carlo method for fermion ground states
Zhang, S., Carlson, J., & Gubernatis, J. E. (1997) · Physical Review B · doi:10.1103/physrevb.55.7464 · Cited by 388
Diagrammatic quantum Monte Carlo study of the Fröhlich polaron
Mishchenko, A., Prokof’ev, N., Sakamoto, A., & Svistunov, B. (2000) · Physical Review B · doi:10.1103/physrevb.62.6317 · Cited by 377
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms
Lin, C., Zong, F. H., & Ceperley, D. M. (2001) · Physical Review E · doi:10.1103/physreve.64.016702 · Cited by 371
Self-citation
Metadata
- Authors
- Ceperley, D. M., & Alder, B. J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1984-12-15
- Volume
- 81
- Issue
- 12
- Pages
- 5833-5844
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2007673873
- Cited by
- 282
- References
- 8
- FWCI
- 7.38
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
