Free motion on the PoissonSU(N)group
نویسندگان
چکیده
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Poisson plane and sphere — homogeneous spaces of Poisson groups E(2) and SU(2) (resp.) — have phase spaces (corresponding symplectic groupoids), in which a free Hamiltonian is naturally defined. We solve the equations of motion and point out some unexpected features: free motion on the plane is bounded (periodic) and free trajectories on the sphere are all circles except the big ones.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1997
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/30/18/027