Free motion on the PoissonSU(N)group

DOI10.1088/0305-4470/30/18/027zbMath0926.37014arXivdg-ga/9612008OpenAlexW3099431384MaRDI QIDQ4248303

Stanislaw Zakrzewski

Publication date: 28 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9612008

zbMATH Keywords

Hamiltonianequations of motionsymplectic structureLegendre transformationfree motion on \(SU(N)\)

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Free motions in linear vibration theory (70J30)

Related Items (7)

Poisson-Lie analogues of spin Sutherland models ⋮ Poisson-Lie interpretation of trigonometric Ruijsenaars duality ⋮ On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland Hierarchy ⋮ Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models ⋮ A bi-Hamiltonian system on the Grassmannian ⋮ Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction ⋮ Classical dynamics, alternative carrier spaces and group-valued constants of motion

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