Journal of Nonlinear Mathematical Physics

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
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
535 - 547
Publication Date
2005/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2005.12.s1.43How 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  - Stefan Rauch-Wojciechowski
AU  - Claes Waksjö
PY  - 2005
DA  - 2005/01
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  - https://doi.org/10.2991/jnmp.2005.12.s1.43
ID  - Rauch-Wojciechowski2005
ER  -