Journal
PHYSICS LETTERS A
Volume 377, Issue 41, Pages 2917-2921Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2013.09.008
Keywords
Open Toda lattice; Action-angle duality; Hamiltonian reduction
Categories
Funding
- Hungarian Scientific Research Fund (OTKA) [K 77400]
- EU [TAMOP-4.2.2.A-11/1/KONYV-2012-0060]
- European Social Fund
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An alternative derivation of the known action-angle map of the standard open Toda lattice is presented based on its identification as the natural map between two gauge slices in the relevant symplectic reduction of the cotangent bundle of GL(n, R). This then permits to interpret Ruijsenaars' action-angle duality for the Toda system in the same group-theoretic framework which was established previously for Calogero type systems. (C) 2013 Elsevier B.V. All rights reserved.
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