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Physical Review Letters

Analytic wave functions for understanding the spectrum of the three-anyon problem

Siu A. Chin, Chia-Ren Hu

Published Jul 13, 1992• 13 citations
Publisher

Abstract

We show that the low-lying spectrum of three noninteracting anyons in a harmonic potential can be qualitatively and quantitatively understood on the basis of a simple set of analytic wave functions. These wave functions are exact in both the boson and fermion limits and satisfy the anyone wave-function phase condition at all intermediate values of the statistical parameter 01. The resulting nonlinear spectrum agrees with those of exact numerical calculations to better than a few parts in a thousand.

DOI
10.1103/physrevlett.69.229

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We show that the low-lying spectrum of three noninteracting anyons in a harmonic potential can be qualitatively and quantitatively understood on the basis of a simple set of analytic wave functions. These wave functions are exact in both the boson and fermion limits and satisfy the anyone wave-function phase condition at all intermediate values of the statistical parameter 01. The resulting nonlinear spectrum agrees with those of exact numerical calculations to better than a few parts in a thousand.
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