Free motion on the Poisson SU(n) group

Details Free motion on the Poisson SU(n) group Free motion on the Poisson SU(n) group

1996-12-04

arxiv.org/abs/dg-ga/9612008v1

J.Phys.A30:6535-6543,1997

Mathematics

Differential Geometry

LaTeX, 10 pages

Scientific paper

10.1088/0305-4470/30/18/027

SL(N,C) is the phase space of the Poisson SU(N). We calculate explicitly the
symplectic structure of SL(N,C), define an analogue of the Hamiltonian of the
free motion on SU(N) and solve the corresponding equations of motion. Velocity
is related to the momentum by a non-linear Legendre transformation.

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