Generalized Lenard chains, separation of variables, and superintegrability
نویسندگان
چکیده
منابع مشابه
Generalized Lenard chains and multi-separability of the Smorodinsky–Winternitz system
We show that the notion of generalized Lenard chains allows to formulate in a natural way the theory of multi–separable systems in the context of bi–Hamiltonian geometry. We prove that the existence of generalized Lenard chains generated by a Hamiltonian function and by a Nijenhuis tensor defined on a symplectic manifold guarantees the separation of variables. As an application, we construct su...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.85.046602