2003/10/28 by A. Zotov · 30 citations
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Degrees of freedom (physics and chemistry) #Elliptic curve #Elliptic partial differential equation #Elliptic rational functions #Lax pair #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quarter period #Reduction (mathematics) #hep-th
paper · pdf · doi:10.1023/b:math.0000032753.97756.94
published in Letters in Mathematical Physics 67(2), 153-165 (Springer Science+Business Media) · LaTeX, 13 pages
arxiv created 2003/10/28 · openalex publication_date 2004/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We introduce 3N× 3N Lax pair with spectral parameter for Calogero-Inozemtsev model. The one degree of freedom case appears to have 2× 2 Lax representation. We derive it from the elliptic Gaudin model via some reduction procedure and prove algebraic integrability. This Lax pair provides elliptic linear problem for the Painlevé VI equation in elliptic form.