Anyons: Pseudo-integrability, Symmetry reduction and Semiclassical Spectrum

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dc.creatorDate, G.
dc.date1999-06-22
dc.date.accessioned2026-07-07T04:32:51Z
dc.date.available2026-07-07T04:32:51Z
dc.descriptionAt the classical level anyons with harmonic confinement are known to exhibit two important properties namely partial separability and pseudo-integrability. These stem from the fact that this system is locally identical to isotropic oscillator system but differs in the global topology of the phase space. We clarify the meaning of pseudo-integrability and show that it amounts to a definite reduction of the symmetry group. We elaborate on the role of the fundamental group of the phase space and pseudo-intrgrability in the context of periodic orbit theory and obtain evidence of non-exactly known eigenvalues from the semiclassical trace formula. We also discuss an ambiguity regarding the `half period' trajectories suggested by classical modeling and exhibited by the exactly known propagator for two anyons.
dc.description41 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/9906018
dc.identifierhttp://arxiv.org/abs/math-ph/9906018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58349
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.titleAnyons: Pseudo-integrability, Symmetry reduction and Semiclassical Spectrum
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