arxiv: cond-mat/9606080 · v1 · pith:WHCNAECInew · submitted 1996-06-12 · ❄️ cond-mat

Equation of State for Exclusion Statistics in a Harmonic Well

Serguei B. Isakov , St\'ephane Ouvry (Centre for Advanced Study , Norwegian Academy of Science , Letters , Oslo , Norway , Division de Physique Th\'eorique , IPN

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Orsay France)

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classification ❄️ cond-mat

keywords harmonicwellexclusionstatisticsexteriorfieldmagneticparticles

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We consider the equations of state for systems of particles with exclusion statistics in a harmonic well. Paradygmatic examples are noninteracting particles obeying ideal fractional exclusion statistics placed in (i) a harmonic well on a line, and (ii) a harmonic well in the Lowest Landau Level (LLL) of an exterior magnetic field. We show their identity with (i) the Calogero model and (ii) anyons in the LLL of an exterior magnetic field and in a harmonic well.

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Equation of State for Exclusion Statistics in a Harmonic Well

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