S Iona and F Calogero 2002 J. Phys. A: Math. Gen. 35 3091 doi:10.1088/0305-4470/35/13/305
S Iona and F Calogero
Show affiliationsA class of completely integrable, and indeed solvable, Hamiltonian many-body problems are exhibited, characterized by rotation-invariant Newtonian equations of motion (`acceleration equals force'), with linear and cubic forces, in ordinary (three-dimensional) space. The corresponding Hamiltonians are of normal type, with the kinetic energy quadratic in the canonical momenta and the potential energy quadratic and quartic in the canonical coordinates.
70E45 Higher-dimensional generalizations
Issue 13 (5 April 2002)
Received 15 January 2002, in final form 14 February 2002
Published 22 March 2002
S Iona and F Calogero 2002 J. Phys. A: Math. Gen. 35 3091
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