FREE MOTION ON THE POISSON SU(N) GROUP

Authors
ZAKRZEWSKI S
Citation
S. Zakrzewski, FREE MOTION ON THE POISSON SU(N) GROUP, Journal of physics. A, mathematical and general, 30(18), 1997, pp. 6535-6543
Citations number
20
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
18
Year of publication
1997
Pages
6535 - 6543
Database
ISI
SICI code
0305-4470(1997)30:18<6535:FMOTPS>2.0.ZU;2-G
Abstract
SL(N, C) is the phase space of the Poisson SU(N). We explicitly calcul ate the symplectic structure of SL(N, C), define an analogue of the Ha miltonian of the free motion on SU(N) and solve the corresponding equa tions of motion. Velocity is related to the momentum by a nonlinear Le gendre transformation.