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Hamiltonian reductions of free particles under polar actions of compact Lie groups

Authors
  • Feher, L.
  • Pusztai, B. G.
Type
Published Article
Publication Date
Nov 30, 2007
Submission Date
May 14, 2007
Identifiers
DOI: 10.1007/s11232-008-0054-3
Source
arXiv
License
Unknown
External links

Abstract

Classical and quantum Hamiltonian reductions of free geodesic systems of complete Riemannian manifolds are investigated. The reduced systems are described under the assumption that the underlying compact symmetry group acts in a polar manner in the sense that there exist regularly embedded, closed, connected submanifolds meeting all orbits orthogonally in the configuration space. Hyperpolar actions on Lie groups and on symmetric spaces lead to families of integrable systems of spin Calogero-Sutherland type.

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