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Second quantization of the elliptic Calogero-Sutherland model

Edwin Langmann
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Abstract

We use loop group techniques to 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 (this algorithm is elaborated elsewhere). This paper contains a detailed introduction, technical details and proofs.

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Edwin Langmann. 2001-02-07. Second quantization of the elliptic Calogero-Sutherland model. https://doi.org/10.1007/s00220-004-1077-8

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