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What an effective criterion of separability says about the Calogero type systems
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- Rauch, Stefan, 1950- (author)
- Linköpings universitet,Matematiska institutionen,Tekniska högskolan
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- Waksjö, Claes, 1971- (author)
- Linköpings universitet,Matematiska institutionen,Tekniska högskolan
- (creator_code:org_t)
- 2005
- 2005
- English.
- In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 12:SUPPL. 1, s. 535-547
- Journal article (peer-reviewed)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- MATHEMATICS
- MATEMATIK
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- ref (subject category)
- art (subject category)
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