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Classical Dynamics of Anyons and the Quantum Spectrum

arXiv:cond-mat/9301020 · doi:10.1103/PhysRevA.48.105

Abstract

In this paper we show that (a) all the known exact solutions of the problem of N-anyons in oscillator potential precisely arise from the collective degrees of freedom, (b) the system is pseudo-integrable ala Richens and Berry. We conclude that the exact solutions are trivial thermodynamically as well as dynamically.

19 pages, ReVTeX, IMSc/93/01