We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1, 1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system. © 2004 Elsevier B.V. All rights reserved.
Bartocci, C., Falqui, G., Pedroni, M. (2004). A geometric approach to the separability of the Neumann-Rosochatius system. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 21(3), 349-360 [10.1016/j.difgeo.2004.07.001].
A geometric approach to the separability of the Neumann-Rosochatius system
FALQUI, GREGORIO;
2004
Abstract
We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1, 1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system. © 2004 Elsevier B.V. All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
