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Second Quantization of the Elliptic Calogero-Sutherland Model

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Abstract

We construct a quantum field theory model of anyons on a circle and at finite temperature. We find an anyon Hamiltonian providing a second quantization of the elliptic Calogero-Sutherland model. This allows us to prove a remarkable identity which is a starting point for an algorithm to construct eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland Hamiltonian.

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  1. Mathematical Physics, Department of Physics, KTH, AlbaNova, 106 91, Stockholm, Sweden

    Edwin Langmann

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  1. Edwin Langmann
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N. Nekrasov

Work supported by the Swedish Natural Science Research Council (NFR).

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Langmann, E. Second Quantization of the Elliptic Calogero-Sutherland Model. Commun. Math. Phys. 247, 321–351 (2004). https://doi.org/10.1007/s00220-004-1077-8

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