Volume 12, Issue Supplement 1, January 2005, Pages 535 - 547
What an Effective Criterion of Separability says about the Calogero Type Systems
Authors
Stefan Rauch-Wojciechowski, Claes Waksjö
Corresponding Author
Stefan Rauch-Wojciechowski
Available Online 1 January 2005.
- DOI
- 10.2991/jnmp.2005.12.s1.43How to use a DOI?
- Abstract
In [15] we have proved a 1-1 correspondence between all separable coordinates on Rn (according to Kalnins and Miller [9]) and systems of linear PDEs for separable potetials V (q). These PDEs, after introducing parameters reflecting the freedom of choice of Euclidean reference frame, serve as an effective criterion of separability. This means that any V (q) satisfying these PDEs is separable and that the separation coordinates can be determined explicitly. We apply this criterion to Calogero systems of particles interacting with each other along a line.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Stefan Rauch-Wojciechowski AU - Claes Waksjö PY - 2005 DA - 2005/01/01 TI - What an Effective Criterion of Separability says about the Calogero Type Systems JO - Journal of Nonlinear Mathematical Physics SP - 535 EP - 547 VL - 12 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.s1.43 DO - 10.2991/jnmp.2005.12.s1.43 ID - Rauch-Wojciechowski2005 ER -