What an effective criterion of separability says about the Calogero type systems
2005 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 12, no SUPPL. 1, 535-547 p.Article in journal (Refereed) Published
In  we have proved a 1-1 correspondence between all separable coordinates on Rn (according to Kalnins and Miller ) 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.
Place, publisher, year, edition, pages
2005. Vol. 12, no SUPPL. 1, 535-547 p.
IdentifiersURN: urn:nbn:se:liu:diva-30412DOI: 10.2991/jnmp.2005.12.s1.43Local ID: 15970OAI: oai:DiVA.org:liu-30412DiVA: diva2:251234