Symmetry group classification of three-dimensional Hamiltonian systems
Date
2000Source
Applied Mathematics LettersVolume
13Issue
2Pages
63-70Google Scholar check
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We present some results on the symmetry group classification for an autonomous Hamiltonian system with three degrees of freedom. The potentials considered are natural, i.e., depend on the position variables only and the symmetries considered are Lie point symmetries. With the exception of the harmonic oscillator or a free particle where the dimension is 24, we obtain all dimensions between 1 and 12, except 8. © 2000 Elsevier Science Ltd. All rights reserved.