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What an effective criterion of separability says about the Calogero type systems
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2005 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 12, no SUPPL. 1, 535-547 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 12, no SUPPL. 1, 535-547 p.
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Mathematics
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URN: urn:nbn:se:liu:diva-30412DOI: 10.2991/jnmp.2005.12.s1.43Local ID: 15970OAI: oai:DiVA.org:liu-30412DiVA: diva2:251234
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2017-12-13

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Rauch, StefanWaksjö, Claes

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