Invariants of the Haldane-Shastry SU(N) chain

1992/08/25 by Michael Fowler, Joseph A. Minahan · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #cond-mat #hep-th

paper · pdf · doi:10.1103/physrevlett.70.2325

11 pages, UVA-92-07

arxiv created 1992/08/25 · openalex publication_date 1993/04/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using a formalism developed by Polychronakos, we explicitly construct a set of invariants of the motion for the Haldane-Shastry SU(N) chain.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

Cited by

• Multiparameter deformed and non-standard Y(glM) Yangian symmetry in a novel class of spin Calogero-Sutherland models
• On the Sutherland Spin Model of B N Type and Its Associated Spin Chain
• Integrals of motion of the Haldane-Shastry model