Algebraic Approach in Unifying Quantum Integrable Models

1998/10/31 by Anjan Kundu · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat #hep-th #nlin.SI #solv-int

paper · pdf · doi:10.1103/physrevlett.82.3936

published as Phys.Rev.Lett. 82 (1999) 3936-3939 · Revtex, 6 pages, no figure, revised version to be published in Phys. Rev. Lett., 1999

arxiv created 1999/04/19 · openalex publication_date 1999/05/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A novel algebra underlying integrable systems is shown to generate and unify a large class of quantum integrable models with given R matrix, through reductions of an ancestor Lax operator and its different realizations. Along with known discrete and field models a new class of inhomogeneous and impurity models is obtained.

Citations

• Knot theory and statistical mechanics

Cited by

• Integrable spin–boson models descending from rational six-vertex models
• Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist
• An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
• q-Boson in Quantum Integrable Systems