Session

Johan Engquist: Algebraic aspects of anyons

270
16 Aug 2008, 10:00
122:026 (Nordita)

122:026

Nordita

Roslagstullsbacken 23 (and 17) 106-91 Stockholm Sweden

Description

We discuss a deformed oscillator algebra relevant for the many-anyon problem. It
is a certain generalization of the deformed Heisenberg algebra underlying the
Calogero model and hence the description of anyons in the lowest Landau level.
We present the spectrum for two and three anyons and show that the anyon
weight lattices, even though they are ``skew'', are connected by application of
raising and annihilation operators of the algebra. The construction correctly
describes the anyonic energy spectra for all states up to linear order in the
statistical parameter.

Presentation materials

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