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Integrable quadratic Hamiltonians on so(4) and so(3,1)

arXiv:nlin/0405066 · doi:10.1088/0305-4470/39/8/009

Abstract

We investigate a special class of quadratic Hamiltonians on so(4) and so(3,1) and describe Hamiltonians that have additional polynomial integrals. One of the main results is a new integrable case with an integral of sixth degree.

16 pages