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An explicit solution of the (quantum) elliptic Calogero-Sutherland model
classification
🧮 math-ph
hep-thmath.MPnlin.SI
keywords
ellipticexplicitcalogero-sutherlandformulasmodelsolutionarbitraryconstant
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We present explicit formulas for the eigenvalues and eigenfunctions of the elliptic Calogero-Sutherland (eCS) model as formal power series to all orders in the nome of the elliptic functions, for arbitrary values of the (positive) coupling constant and particle number. Our solution gives explicit formulas for an elliptic deformation of the Jack polynomials.
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Cited by 1 Pith paper
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
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