Generalized Calogero-Moser-Sutherland models from geodesic motion on \(\text{GL}^+(n,\mathbb{R})\) group manifold

DOI10.1016/S0375-9601(02)00708-9zbMath0996.81032arXivnlin/0103047OpenAlexW2130259608MaRDI QIDQ1605514

A. M. Khvedelidze, Dimitar M. Mladenov

Publication date: 17 July 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0103047

zbMATH Keywords

discrete symmetriescontinuous symmetriessingular orbit strata

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• A generalisation of the Calogero-Moser system
• Three integrable Hamiltonian systems connected with isospectral deformations
• Generalized Calogero models through reductions by discrete symmetries
• The symplectic structure of the spin Calogero model
• Hamiltonian group actions and dynamical systems of calogero type
• Spin Calogero–Moser systems associated with simple Lie algebras
• Foundations of Quantum Mechanics
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