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A class of superintegrable systems of Calogero type.

Authors :
Smirnov, Roman G.
Winternitz, Pavel
Source :
Journal of Mathematical Physics. Sep2006, Vol. 47 Issue 9, p093505. 8p.
Publication Year :
2006

Abstract

We show that the three-body Calogero model with inverse square potentials can be interpreted as a maximally superintegrable and multiseparable system in Euclidean three-space. As such it is a special case of a family of systems involving one arbitrary function of one variable. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222488
Volume :
47
Issue :
9
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
22567277
Full Text :
https://doi.org/10.1063/1.2345472