Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction

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8 Citations (Scopus)

Abstract

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 RuijsenaarsE action-angle duality for the Toda system in the same group-theoretic framework which was established previously for Calogero type systems.

Original languageEnglish
Pages (from-to)2917-2921
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume377
Issue number41
DOIs
Publication statusPublished - Dec 2 2013

Keywords

  • Action-angle duality
  • Hamiltonian reduction
  • Open Toda lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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