Bispectrality for deformed Calogero-Moser-Sutherland systems

2005/03/09 by Misha Feigin, M. Feigin, Feigin, M.
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0503020

45 pages

arxiv created 2005/03/09 · openalex publication_date 2005/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove bispectral duality for the generalized Calogero-Moser-Sutherland systems related to configurations A_n,2(m), C_n(l,m). The trigonometric axiomatics of Baker-Akhiezer function is modified, the dual difference operators of rational Macdonald type and the Baker-Akhiezer functions related to both series are explicitly constructed.

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