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Invariant Classification of Orthogonally Separable Hamiltonian Systems in Euclidean Space

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Abstract

The problem of the invariant classification of the orthogonal coordinate webs defined in Euclidean space is solved within the framework of Felix Klein’s Erlangen Program. The results are applied to the problem of integrability of the Calogero-Moser model.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United Kingdom, CB3 0WA, UK

    Joshua T. Horwood

  2. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

    Raymond G. McLenaghan

  3. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5

    Roman G. Smirnov

Authors
  1. Joshua T. Horwood
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  2. Raymond G. McLenaghan
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  3. Roman G. Smirnov
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Correspondence to Joshua T. Horwood.

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Communicated by G.W. Gibbons

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Horwood, J., McLenaghan, R. & Smirnov, R. Invariant Classification of Orthogonally Separable Hamiltonian Systems in Euclidean Space. Commun. Math. Phys. 259, 679–709 (2005). https://doi.org/10.1007/s00220-005-1331-8

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