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Source identity and kernel functions for elliptic Calogero-Sutherland type systems

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arxiv 1003.0857 v2 pith:4CF4JJ4W submitted 2010-03-03 math-ph math.MP

Edwin Langmann This is my paper · ORCID
classification math-phmath.MP
keywords ellipticcalogero-sutherlandfunctionskernelidentitysourcesystemstype
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Kernel functions related to quantum many-body systems of Calogero-Sutherland type are discussed, in particular for the elliptic case. The main result is an elliptic generalization of an identity due to Sen that is a source for many such kernel functions. Applications are given, including simple exact eigenfunctions and corresponding eigenvalues of Chalykh-Feigin-Veselov-Sergeev-type deformations of the elliptic Calogero-Sutherland model for special parameter values.

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  1. Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation

    math-ph 2019-08 accept novelty 7.0 of 10

    Integral representations are constructed for solutions of the non-stationary elliptic Calogero-Sutherland equation, yielding elliptic analogues of Jack polynomials for non-integer coupling values.

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