Additional analytically exact solutions for three-anyons

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dc.creatorRim, Chaiho
dc.date1995-12-08
dc.date.accessioned2026-07-07T04:21:43Z
dc.date.available2026-07-07T04:21:43Z
dc.descriptionWe present new family of exact analytic solutions for three anyons in a harmonic potential (or in free space) in terms of generalized harmonics on $S^3$, which supplement the known solutions. The new solutions satisfy the hard-core condition when $α={1\over 3},1$ ($α$ being the statistical parameter) but otherwise, have finite non-vanishing two-particle colliding probability density, which is consistent with self-adjointness of the Hamiltonian. These solutions, however, do not have one-to-one mapping property between bosonic and fermionic spectra.
dc.description10 pages (RevTex) including 1 postcript figure
dc.identifierhttps://arxiv.org/abs/hep-th/9512051
dc.identifierhttp://arxiv.org/abs/hep-th/9512051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54437
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleAdditional analytically exact solutions for three-anyons
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