Equation of State for Exclusion Statistics in a Harmonic Well

Details Equation of State for Exclusion Statistics in a Harmonic Well Equation of State for Exclusion Statistics in a Harmonic Well

1996-06-12

arxiv.org/abs/cond-mat/9606080v1

Physics

Condensed Matter

latex file, 11 pages

Scientific paper

10.1088/0305-4470/29/23/010

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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