TY - JOUR
T1 - On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
JF - Int. Math. Res. Not. (2010) 2010:279-296
Y1 - 2010
A1 - Claudio Bartocci
A1 - Gregorio Falqui
A1 - Igor Mencattini
A1 - Giovanni Ortenzi
A1 - Marco Pedroni
AB - We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax formalism is also discussed.
PB - Oxford University Press
UR - http://hdl.handle.net/1963/3800
U1 - 8
U2 - LISNU
U3 - Interdisciplinary Laboratory for Advanced Studies
ER -
TY - JOUR
T1 - A geometric approach to the separability of the Neumann-Rosochatius system
JF - Differential Geom. Appl. 21 (2004) 349-360
Y1 - 2004
A1 - Claudio Bartocci
A1 - Gregorio Falqui
A1 - Marco Pedroni
AB - 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.
UR - http://hdl.handle.net/1963/2541
U1 - 1578
U2 - Mathematics
U3 - Mathematical Physics
ER -