44 citations · 54 across the 9 of their papers we have counts for
Showing 2006 · math-phShow all
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math-ph2006★ 3 cited
A class of superintegrable systems of Calogero type
Roman G. Smirnov, Pavel Winternitz
We show that the three body Calogero model with inverse square potentials can be interpreted as a maximally superintegrable and multiseparable system in Euclidean three-space. As s…
math-ph2006★ 44 cited
Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
Joshua T. Horwood, Raymond G. McLenaghan, Roman G. Smirnov
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 resul…
math-ph2006
The classical Bertrand-Darboux problem
Roman G. Smirnov
The well-known problem of classical mechanics considered by Bertrand (1857) and Darboux (1901) is reviewed in the context of Cartan's geometry.