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arXiv · 1812.07458

SO(4)-symmetry of mechanical systems with 3 degrees of freedom

Sofiane Bouarroudj·S. E. Konstein
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Abstract

We answered the old question: does there exist a mechanical system with 3 degrees of freedom, except for the Coulomb system, which has 6 first integrals generating the Lie algebra o(4) by means of the Poisson brackets? We presented a system which is not centrally symmetric, but has such 6 first integrals. We showed also that not every mechanical system with 3 degrees of freedom possesses such Lie algebra o(4).

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Sofiane Bouarroudj, S. E. Konstein. 2019-05-09. SO(4)-symmetry of mechanical systems with 3 degrees of freedom. https://doi.org/10.1080/14029251.2020.1683997

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