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

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

2004-05-28

arxiv.org/abs/nlin/0405066v2

J. Phys. A: Math. Gen. 39 (2006) 1915-1926.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

10.1088/0305-4470/39/8/009

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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