Interpolating statistics realized as Deformed Harmonic Oscillators

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dc.creatorSwamy, P. Narayana
dc.date2004-12-23
dc.date.accessioned2026-07-07T06:11:51Z
dc.date.available2026-07-07T06:11:51Z
dc.descriptionThe idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra has been an outstanding issue. This original concept introduced long ago by Greenberg is the motivation for this investigation. We establish that a q-deformed algebra can be used to describe the statistics of particles (anyons) interpolating continuously between Bose and Fermi statistics, i.e., fractional statistics. We show that the generalized intermediate statistics splits into the Boson-like and Fermion-like regimes, each described by a unique oscillator algebra. The B-anyon thermostatistics is described by employing the q-calculus based on the Jackson derivative but the F-anyons are described by ordinary derivatives of thermodynamics. Thermodynamic functions of both B-anyons and F-anyons are determined and examined.
dc.descriptionLaTeX, 16 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0412189
dc.identifierhttp://arxiv.org/abs/quant-ph/0412189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92611
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleInterpolating statistics realized as Deformed Harmonic Oscillators
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