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Source Identity and Kernel Functions for Elliptic Calogero–Sutherland Type Systems

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Abstract

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. Theoretical Physics, KTH, AlbaNova, 106 91, Stockholm, Sweden

    Edwin Langmann

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Langmann, E. Source Identity and Kernel Functions for Elliptic Calogero–Sutherland Type Systems. Lett Math Phys 94, 63–75 (2010). https://doi.org/10.1007/s11005-010-0416-2

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  • DOI: https://doi.org/10.1007/s11005-010-0416-2

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