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Monte Carlo Calculations of the Ground State of Three- and Four-Body Nuclei
Abstract
By means of a suitable Green's function, the Schr\"odinger equation for the few-body nuclear problem is written as an integral equation. In this equation, the binding energy of the ground state is assumed known and the strength of potential required to give this energy is an eigenvalue to be determined. A random walk can be devised whose collision density satisfies the same integral equation. The simulation of this random walk therefore permits an exact numerical solution by Monte Carlo methods. The calculation has been carried out with pairwise potentials of square, Gauss, and exponential shape.
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Cites
A Treatise on the Theory of Bessel Functions
Davis, H. T., & Watson, G. N. (1944) · National Mathematics Magazine · doi:10.2307/3030074 · Cited by 5,312
Cited by
Quantum Monte Carlo simulations of solids
Foulkes, W. M. C., Mitas, L., Needs, R. J., & Rajagopal, G. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.33 · Cited by 2,336
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
A 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
Quantum Monte Carlo methods for nuclear physics
Carlson, J., Gandolfi, S., Pederiva, F., Pieper, S. C., Schiavilla, R., Schmidt, K. E., & Wiringa, R. B. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.1067 · Cited by 818
Quantum chemistry by random walk. H 2 P, H+3 D 3 h 1 A′1, H2 3Σ+u, H4 1Σ+g, Be 1 S
Anderson, J. B. (1976) · The Journal of Chemical Physics · doi:10.1063/1.432868 · Cited by 571
Metadata
- Authors
- Kalos, M. H.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1962-11-15
- Volume
- 128
- Issue
- 4
- Pages
- 1791-1795
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2033951200
- Cited by
- 314
- References
- 1
- FWCI
- 1.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kalos, M. H. (1962). Monte Carlo Calculations of the Ground State of Three- and Four-Body Nuclei. Physical Review. https://doi.org/10.1103/physrev.128.1791
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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.
