Maciej BLASZAK
and Artur SERGYEYEV
Institute of Physics,
A. Mickiewicz University,
Umultowska 85,
61-614 Poznan,
POLAND
and
Mathematical Institute,
Silesian University in Opava,
Na Rybnicku 1,
746 01 Opava,
CZECH REPUBLIC
E-mail: blaszakm@amu.edu.pl , Artur.Sergyeyev@math.slu.cz
Maximal superintegrability of Benenti systems
Abstract:
For a class of Hamiltonian systems naturally arising in the modern
theory of separation of variables we establish their maximal superintegrability
by explicitly constructing the additional integrals of motion. Our construction
apllies to the phase spaces of arbitrary even dimension.
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Maciej Blaszak and Artur Sergyeyev, Maximal superintegrability of Benenti
systems, J. Phys. A: Math. Gen. 38 (2005) L1-L5, nlin.SI/0412018.