T. Wolf, O. V. Efimovskaya, “Classification of integrable quadratic Hamiltonians on <nobr>$e(3)$</nobr>”, Regul. Chaotic Dyn., 2003, Volume 8, Issue 2,Pages <nobr>155

This article is cited in 3 papers

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

T. Wolf^a, O. V. Efimovskaya^b

^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.

MSC: 37J35, 70E40, 17B80

Received: 06.02.2003

Language: English

DOI: 10.1070/RD2003v008n02ABEH000234