For the many-anyon system in external field, we solve the quantum eigenvalue problem with particular topological constraints derived from semiclassical considerations. Our results agree with the numerical spectra recently obtained for the three- and four-anyon systems. The relevance of our approximation to the general solution of the anyon-gas model is pointed out and discussed.

MULTI-ANYON SPECTRA AND WAVE FUNCTIONS IN THE CLUSTERING APPROXIMATION

ILLUMINATI, Fabrizio
1993-01-01

Abstract

For the many-anyon system in external field, we solve the quantum eigenvalue problem with particular topological constraints derived from semiclassical considerations. Our results agree with the numerical spectra recently obtained for the three- and four-anyon systems. The relevance of our approximation to the general solution of the anyon-gas model is pointed out and discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3309077
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