The action-angle dual of an integrable Hamiltonian system of Ruijsenaars-Schneider-van Diejen type

L. Fehér, I. Marshall

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Integrable deformations of the hyperbolic and trigonometric BCn Sutherland models were recently derived via Hamiltonian reduction of certain free systems on the Heisenberg doubles of SU(n, n) and SU(2n) respectively. As a step towards constructing action-angle variables for these models, we here apply the same reduction to a different free system on the double of SU(2n), and thereby obtain a novel integrable many-body model of Ruijsenaars-Schneider-van Diejen type that is in action-angle duality with the respective deformed Sutherland model.

Original languageEnglish
Article number314004
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number31
DOIs
Publication statusPublished - Jul 7 2017

Fingerprint

Hamiltonians
Integrable Hamiltonian System
Angle
Action-angle Variables
Model
Duality

Keywords

  • action-angle duality
  • Hamiltonian reduction
  • Ruijsenaars-Schneider-van Diejen models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

The action-angle dual of an integrable Hamiltonian system of Ruijsenaars-Schneider-van Diejen type. / Fehér, L.; Marshall, I.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 50, No. 31, 314004, 07.07.2017.

Research output: Contribution to journalArticle

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