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

Vladimir V Sokolov·Thomas Wolf
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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.

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Vladimir V Sokolov, Thomas Wolf. 2004-05-28. Integrable quadratic Hamiltonians on so(4) and so(3,1). https://doi.org/10.1088/0305-4470%2F39%2F8%2F009

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