1995/03/24 by V. B. Kuznetsov, V B Kuznetsov, M. F. Jorgensen +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1088/0305-4470/28/16/020
published as J.Phys. A28 (1995) 4639-4654 · 22 pages, latex, no figures
arxiv created 1995/03/24 · openalex publication_date 1995/08/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
New boundary conditions for classical integrable nonlinear lattices of the XXX type, such as the Heisenberg chain and the Toda lattice, are presented. These integrable extensions are formulated in terms of a generic XXX Heisenberg magnet interacting with two additional spins at each end of the chain. The construction uses the most general rank-1 ansatz for the 2*2 L-operator satisfying the reflection equation algebra with rational r-matrix. The associated quadratic algebra is shown to be that of dynamical symmetry for the A 1 and BC 2 Calogero-Moser problems. Other physical realizations of our quadratic algebra are also considered.