Classification of integrable quadratic Hamiltonians on e(3)

Details Classification of integrable quadratic Hamiltonians on e(3) Classification of integrable quadratic Hamiltonians on e(3)

2003-02-01

arxiv.org/abs/nlin/0302001v1

Regular and Chaotic Dynamics, 8, no 2 (2003), p 155-162.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

Linear Poisson brackets on e(3) typical of rigid body dynamics are
considered. All quadratic Hamiltonians of Kowalevski type having additional
first integral of fourth degree are found. Quantum analogs of these
Hamiltonians are listed.

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