Semiclassical quantization of interacting anyons in a strong magnetic field

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Abstract
We present a semiclassical theory of charged interacting anyons in a strong magnetic field. We apply this theory to a number of few-anyon systems including two interacting anyons in the presence of an impurity and three interacting anyons. We discuss the dependence of their energy levels on the statistical parameter and find regions in which this dependence follows very different patterns. The semiclassical arguments allow us to correlate these patterns with the change in the character of the classical motion of the system.