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Second quantization of the elliptic Calogero-Sutherland model

Edwin Langmann
(
- Royal Inst. Tech., Stockholm
)

Feb, 2001

36 pages

Published in:

Commun.Math.Phys. 247 (2004) 321-351

e-Print:

math-ph/0102005 [math-ph]

DOI:

10.1007/s00220-004-1077-8

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Abstract: (Springer)

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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