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Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2006 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 47, no 2Article in journal (Refereed) Published
Abstract [en]

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 lambda, we also obtain dual relations involving mixed correlation functions of anyons with two different statistics parameters lambda and 1/lambda. We also give alternative, elementary proofs of these identities by direct computations.

Place, publisher, year, edition, pages
2006. Vol. 47, no 2
Keyword [en]
polynomials, separation, anyons, jack
Identifiers
URN: urn:nbn:se:kth:diva-15465DOI: 10.1063/1.2167807ISI: 000235663600001Scopus ID: 2-s2.0-33644631600OAI: oai:DiVA.org:kth-15465DiVA: diva2:333506
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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