2007/03/01 by Martin Hallnäs · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Eigenfunction #Eigenvalues and eigenvectors #Geology #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Orthogonal polynomials #Physics #Polynomial #Pure mathematics #Quantum mechanics #Representation (politics) #Series (stratigraphy) #Symmetric polynomial #Type (biology) #math-ph #math.CA #math.MP #nlin.SI
paper · pdf · doi:10.3842/sigma.2007.037
published in Symmetry Integrability and Geometry Methods and Applications (National Academy of Sciences of Ukraine) · This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
arxiv created 2007/03/01 · openalex publication_date 2007/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero-Sutherland type models. We also indicate a generalisation of this result to polynomials which give the eigenfunctions of so-called 'deformed' Calogero-Sutherland type models.