259 citations
- University of StavangerNO6 papers
- Technical University of MunichDE4 papers
- University of CambridgeGB3 papers
- Carleton UniversityCA2 papers
- Carnegie Institution for ScienceUS2 papers
- Geophysical LaboratoryUS2 papers
- National Institute for Subatomic PhysicsNL2 papers
- Pacific Institute for the Mathematical SciencesCA2 papers
- Princeton UniversityUS2 papers
- Simon Fraser UniversityCA2 papers
- Tulane UniversityUS2 papers
- Université LavalCA2 papers
Showing 2006 · math-phShow all
3 papers · 2 filters
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.