Volume 13, Issue 2, May 2006, Pages 231 - 254
New solvable many-body problems in the plane
- F CALOGERO, J-P FRANCOISE
- Corresponding Author
- F CALOGERO
Available Online 28 November 2006.
- https://doi.org/10.2991/jnmp.2006.13.2.7How to use a DOI?
- 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.
- 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 -