The full phase space of a model in the Calogero–Ruijsenaars family

L. Fehér; T. F. Görbe

doi:10.1016/j.geomphys.2016.04.018

The full phase space of a model in the Calogero–Ruijsenaars family

L. Fehér, T. F. Görbe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

5 Citations (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	139-149
Number of pages	11
Journal	Journal of geometry and physics
Volume	115
DOIs	https://doi.org/10.1016/j.geomphys.2016.04.018
Publication status	Published - 1-May-2017
Externally published	Yes

Keywords

Hamiltonian reduction
Heisenberg double
Integrable many-body systems

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10.1016/j.geomphys.2016.04.018

The full phase space of a model in the Calogero–Ruijsenaars familyFinal publisher's version, 493 KBLicence: Elsevier

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abstract = "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.",

keywords = "Hamiltonian reduction, Heisenberg double, Integrable many-body systems",

author = "L. Feh{\'e}r and G{\"o}rbe, {T. F.}",

note = "Funding Information: This work was supported in part by the Hungarian Scientific Research Fund (OTKA) under the grant K-111697. The work was also partially supported by COST (European Cooperation in Science and Technology) in COST Action MP1405 QSPACE. Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

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AU - Görbe, T. F.

N1 - Funding Information: This work was supported in part by the Hungarian Scientific Research Fund (OTKA) under the grant K-111697. The work was also partially supported by COST (European Cooperation in Science and Technology) in COST Action MP1405 QSPACE. Publisher Copyright: © 2016 Elsevier B.V.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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.

AB - 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.

KW - Hamiltonian reduction

KW - Heisenberg double

KW - Integrable many-body systems

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DO - 10.1016/j.geomphys.2016.04.018

M3 - Article

AN - SCOPUS:85027925383

SN - 0393-0440

VL - 115

SP - 139

EP - 149

JO - Journal of geometry and physics

JF - Journal of geometry and physics

ER -

The full phase space of a model in the Calogero–Ruijsenaars family

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Keywords

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