We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of functionally independent, quadratic first integrals. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky-Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form. (c) 2007 Elsevier B.V. All rights reserved.
Ballesteros, A., Enciso, A., Herranz, F.j., Ragnisco, O. (2008). A maximally superintegrable system on an n-dimensional space of nonconstant curvature RID F-2453-2010. PHYSICA D-NONLINEAR PHENOMENA, 237(4), 505-509 [10.1016/j.physd.2007.09.021].
A maximally superintegrable system on an n-dimensional space of nonconstant curvature RID F-2453-2010
RAGNISCO, Orlando
2008-01-01
Abstract
We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of functionally independent, quadratic first integrals. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky-Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form. (c) 2007 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
