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Solution of a Three-Body Problem in One Dimension

Journal of Mathematical Physics · 1969 · Vol. 10(12) · pp. 2191–2196
F. Calogero

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.

Astro and Planetary ScienceSpacecraft Dynamics and ControlSpace Satellite Systems and ControlDimension (graph theory)MathematicsThree-body problemPairwise comparisonBody forcen-body problemMathematical analysisClassical mechanicsPhysicsPure mathematics

Funding

  • Royal Society
  • Imperial College London
Citations
1,019
FWCI
5.83
field-weighted impact
References
4
Percentile
95%
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Citations per year
Cited by
Quantum Many-Body Problem in One Dimension: Ground State
Journal of Mathematical Physics · 1971 · 662 citations
Supersymmetry and quantum mechanics
Physics Reports · 1995 · 2,615 citations
References
Higher Transcendental Functions
Medical Entomology and Zoology · 1981 · 7,391 citations
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