Volume 23, Issue 2, March 2016, Pages 190 - 212
Novel solvable many-body problems
Authors
Oksana Bihun
Department of Mathematics, University of Colorado, Colorado Springs, 1420 Austin Bluffs Pkwy, Colorado Springs, CO 80918, USA,obihun@uccs.edu
Francesco Calogero
Physics Department, University of Rome “La Sapienza”, p. Aldo Moro, I-00185 Roma, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy,francesco.calogero@roma1.infn.it,francesco.calogero@uniroma1.it
Received 13 December 2015, Accepted 18 January 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1161260How to use a DOI?
- Keywords
- New solvable many-body problems; zeros and coefficients of monic polynomials; generations of monic polynomial
- Abstract
Novel classes of dynamical systems are introduced, including many-body problems characterized by nonlinear equations of motion of Newtonian type (“acceleration equals forces”) which determine the motion of points in the complex plane. These models are solvable, namely their configuration at any time can be obtained from the initial data by algebraic operations, amounting to the determination of the zeros of a known time-dependent polynomial in the independent variable z. Some of these models are multiply periodic, isochronous or asymptotically isochronous; others display scattering phenomena.
- Copyright
- © 2016 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Oksana Bihun AU - Francesco Calogero PY - 2021 DA - 2021/01/06 TI - Novel solvable many-body problems JO - Journal of Nonlinear Mathematical Physics SP - 190 EP - 212 VL - 23 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1161260 DO - 10.1080/14029251.2016.1161260 ID - Bihun2021 ER -