Fermion Ground State of Three Particles in a Harmonic Potential Well and Its Anyon Interpolation

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We examine the detail of the analytic structure of an exact analytic solution of three anyons, which interpolates to the fermion ground state in a harmonic potential well. The analysis is done on the fundamental domain with appropriate boundary conditions. Some remarks on the hard-core conditions and self-adjointness are made.
RevTex, 11pages

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