Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space

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.

References in corpus (1)

• Covariants,joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

Cited by in corpus (16)

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• On integrable systems outside Nijenhuis and Haantjes geometry
• Equivalence problem for the orthogonal webs on the sphere
• Invariant classification of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space
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• Classical and quantum integrability in 3D systems
• Second order Killing tensors related to symmetric spaces
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