N-DIMENSIONAL CLASSICAL INTEGRABLE SYSTEMS FROM HOPF-ALGEBRAS

Authors
BALLESTREROS A CORSETTI M RAGNISCO O
Citation
A. Ballestreros et al., N-DIMENSIONAL CLASSICAL INTEGRABLE SYSTEMS FROM HOPF-ALGEBRAS, Czechoslovak journal of Physics, 46(12), 1996, pp. 1153-1163
Citations number
9
Categorie Soggetti
Physics
Journal title
Czechoslovak journal of Physics → ACNP
ISSN journal
00114626
Volume
46
Issue
12
Year of publication
1996
Pages
1153 - 1163
Database
ISI
SICI code
0011-4626(1996)46:12<1153:NCISFH>2.0.ZU;2-X
Abstract
A systematic method to construct N-body integrable systems is introduc ed by means of phase space realizations of universal enveloping Hopf a lgebras. A particular realization for the so(2, 1) case (Gaudin system ) is analysed and an integrable quantum deformation is constructed by using quantum algebras as Poisson-Hopf symmetries.