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This article is cited in 3 scientific papers (total in 3 papers)
Classification of integrable quadratic Hamiltonians on $e(3)$
T. Wolfa, O. V. Efimovskayab a Department of Mathematics Brock University,
500 Glenridge Avenue, St.Catharines,
Ontario, Canada L2S 3A1
b Department of Mechanics and Mathematics,
Moscow State University,
Vorob’evy gory,
Moscow, 119992, Russia
Abstract:
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.
Received: 06.02.2003
Citation:
T. Wolf, O. V. Efimovskaya, “Classification of integrable quadratic Hamiltonians on $e(3)$”, Regul. Chaotic Dyn., 8:2 (2003), 155–162
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https://www.mathnet.ru/eng/rcd773 https://www.mathnet.ru/eng/rcd/v8/i2/p155
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