Symmetry reduction and superintegrable Hamiltonian systems
classification
🧮 math-ph
math.MP
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systemsreductionsuperintegrablehamiltonianmaximallyarticlecompleteconstruct
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We construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems are maximally superintegrable. We also discuss the reduction method used in this article and its possible generalization to other maximally superintegrable systems.
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