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- W2017416599 abstract "We present remarkable functional identities related to the elliptic Calogero-Sutherland (eCS) system. We derive them from a second quantization of the eCS model within a quantum field theory model of anyons on a circle and at finite temperature. The identities involve two eCS Hamiltonians with arbitrary and, in general, different particle numbers N and M, and a particular function of N+M variables arising as anyon correlation function of N particles and M antiparticles. In addition to identities obtained from anyons with the same statistics parameter λ, we also obtain “dual” relations involving “mixed” correlation functions of anyons with two different statistics parameters λ and 1∕λ. We also give alternative, elementary proofs of these identities by direct computations." @default.
- W2017416599 created "2016-06-24" @default.
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- W2017416599 date "2006-02-01" @default.
- W2017416599 modified "2023-09-23" @default.
- W2017416599 title "Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model" @default.
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- W2017416599 doi "https://doi.org/10.1063/1.2167807" @default.
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