Journal of Nonlinear Mathematical Physics

Volume 13, Issue 2, May 2006, Pages 231 - 254

New solvable many-body problems in the plane

Authors
F CALOGERO, J-P FRANCOISE
Corresponding Author
F CALOGERO
Available Online 28 November 2006.
DOI
https://doi.org/10.2991/jnmp.2006.13.2.7How to use a DOI?
Abstract
We revisit an integrable (indeed, superintegrable and solvable) many-body model itroduced almost two decades ago by Gibbons and Hermsen and by Wojciechowski, and we modify it so that its generic solutions are all isochronous (namely, completely periodic with fixed period). We then show how this model (or rather the more bsic dynamical system that underlies its solvable character, and other avatars of it) can be conveniently reinterpreted as (rotation-invariant) models in the plane; and we thereby present several new (solvable, isochronous and rotation-invariant) many-body problems in the plane.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 2
Pages
231 - 254
Publication Date
2006/11
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.2.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - F CALOGERO
AU  - J-P FRANCOISE
PY  - 2006
DA  - 2006/11
TI  - New solvable many-body problems in the plane
JO  - Journal of Nonlinear Mathematical Physics
SP  - 231
EP  - 254
VL  - 13
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.2.7
DO  - https://doi.org/10.2991/jnmp.2006.13.2.7
ID  - CALOGERO2006
ER  -