The super-separability of the three-body inverse-square Calogero system

Authors
Benenti, S Chanu, C Rastelli, G
Citation
S. Benenti et al., The super-separability of the three-body inverse-square Calogero system, J MATH PHYS, 41(7), 2000, pp. 4654-4678
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
7
Year of publication
2000
Pages
4654 - 4678
Database
ISI
SICI code
0022-2488(200007)41:7<4654:TSOTTI>2.0.ZU;2-V
Abstract
The geometrical theory of the variable separation for the Hamilton-Jacobi e quation is applied to the classical three-body inverse-square Calogero syst em. It is proved that this system is separable in infinitely many inequival ent ways, related to five different kinds of separable webs in the Euclidea n three-space, and the corresponding systems of independent first integrals in involution are computed. (C) 2000 American Institute of Physics. [S0022 -2488(00)05707-8].