259 citations
- University of StavangerNO6 papers
- Technical University of MunichDE4 papers
- University of CambridgeGB3 papers
- Carleton UniversityCA2 papers
- Carnegie Institution for ScienceUS2 papers
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- National Institute for Subatomic PhysicsNL2 papers
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4 papers · 1 filter
Hamilton-Jacobi Theory and Moving Frames
Joshua D. MacArthur, Raymond G. McLenaghan, Roman G. Smirnov
The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
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…
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…
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.