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Second quantization of the elliptic Calogero-Sutherland model
KTH, Superseded Departments, Physics.
2004 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 247, no 2, 321-351 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2004. Vol. 247, no 2, 321-351 p.
Keyword [en]
chiral luttinger liquid, collective field-theory, lame functions, lie-algebras, loop-groups, states, representations, temperature, anyons
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-23397DOI: 10.1007/s00220-004-1077-8ISI: 000221285300001ScopusID: 2-s2.0-2942554816OAI: diva2:342095
QC 20100525 QC 20111103Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-11-03Bibliographically approved

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