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Solution of a Three-Body Problem in One Dimension
Abstract
The problem of three equal particles interacting pairwise by inversecube forces (``centrifugal potential'') in addition to linear forces (``harmonical potential'') is solved in one dimension.
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Citations
Cited by
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
Quantum integrable systems related to lie algebras
Olshanetsky, M. A., & Perelomov, A. M. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90018-2 · Cited by 991
Naidon, P., & Endo, S. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa50e8 · Cited by 474
Time-evolving a matrix product state with long-ranged interactions
Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.165112 · Cited by 323
Quantum rings for beginners: energy spectra and persistent currents
Viefers, S., Koskinen, P., Singha Deo, P., & Manninen, M. (2004) · Physica E: Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2003.08.076 · Cited by 283
Metadata
- Authors
- Calogero, F.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1969-12-01
- Volume
- 10
- Issue
- 12
- Pages
- 2191-2196
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2080726719
- Cited by
- 1,079
- References
- 0
- FWCI
- 12.54
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Solution of a Three-Body Problem in One Dimension. https://app.cochat.ai/papers/10.1063/1.1664820
- The paper
- Calogero, F. (1969). Solution of a Three-Body Problem in One Dimension. Journal of Mathematical Physics. https://doi.org/10.1063/1.1664820
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.