Two-photon algebra and integrable Hamiltonian systems

Authors
Ballesteros, A Herranz, FJ
Citation
A. Ballesteros et Fj. Herranz, Two-photon algebra and integrable Hamiltonian systems, J NONL M PH, 8, 2001, pp. 18-22
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Year of publication
2001
Supplement
S
Pages
18 - 22
Database
ISI
SICI code
1402-9251(200102)8:<18:TAAIHS>2.0.ZU;2-3
Abstract
The two-photon algebra hs is used to define an infinite class of N-particle Hamiltonian systems having (N - 2) additional constants of the motion in i nvolution, By construction, all these systems are hs-coalgebra invariant. A s a straightforward application, a new family of (quasi)integrable N-dimens ional potentials is derived.