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

    2003, Volume 8, Number 2, pp.  155-162

    Author(s): Wolf T., Efimovskaya O. V.

    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.
    Citation: Wolf T., Efimovskaya O. V., Classification of integrable quadratic Hamiltonians on $e(3)$, Regular and Chaotic Dynamics, 2003, Volume 8, Number 2, pp. 155-162
    DOI: 10.1070/RD2003v008n02ABEH000234


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