Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2004
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/math-ph/0406061 |
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Sommario:
- We present further 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 $M$ anti-particles. 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.