The quantum behavior of two identical point vortices (e.g., in a superfluid ⁴He thin film) is studied. It is argued that this system obeys neither Bose nor Fermi statistics, but intermediate or θ statistics: We find that a single vortex in this system possesses quarter-fractional statistics (i.e., θ=π2 or 3π2). The source of the θ statistics is identified in the relative zero-point motion of the vortices.
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Chiao et al. (1985) studied this question.
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