The full phase space of a model in the Calogero–Ruijsenaars family
Mar 9, 201611 pages
Published in:
- J.Geom.Phys. 115 (2017) 139-149
- Published: May, 2017
e-Print:
- 1603.02877 [math-ph]
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Abstract: (Elsevier)
We complete the recent derivation of a Ruijsenaars type system that arises as a reduction of the natural free system on the Heisenberg double of SU(n,n) . The previous analysis by Marshall focused on a dense open submanifold of the reduced phase space, and here we describe the full phase space wherein Liouville integrability of the system holds by construction.Note:
- 15 pages, submitted to JGP special issue "Finite dimensional integrable systems 2"
- Integrable many-body systems
- Hamiltonian reduction
- Heisenberg double
- model: phase space
- SU(N,N)
- phase space: reduced
- integrability
- Liouville
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