Detailed Balance and Intermediate Statistics

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dc.creatorAcharya, R.
dc.creatorSwamy, P. Narayana
dc.date2003-08-14
dc.date2003-12-15
dc.date.accessioned2026-07-07T10:51:07Z
dc.date.available2026-07-07T10:51:07Z
dc.descriptionWe present a theory of particles, obeying intermediate statistics ("anyons"), interpolating between Bosons and Fermions, based on the principle of Detailed Balance. It is demonstrated that the scattering probabilities of identical particles can be expressed in terms of the basic numbers, which arise naturally and logically in this theory. A transcendental equation determining the distribution function of anyons is obtained in terms of the statistics parameter, whose limiting values 0 and 1 correspond to Bosons and Fermions respectively. The distribution function is determined as a power series involving the Boltzmann factor and the statistics parameter and we also express the distribution function as an infinite continued fraction. The last form enables one to develop approximate forms for the distribution function, with the first approximant agreeing with our earlier investigation.
dc.description13 pages, RevTex, submitted for publication; added references; added sentences
dc.identifierhttps://arxiv.org/abs/quant-ph/0308084
dc.identifierhttp://arxiv.org/abs/quant-ph/0308084
dc.identifierJ.Phys.A37:2527-2536,2004; Erratum-ibid.A37:6605,2004
dc.identifierdoi:10.1088/0305-4470/37/7/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184751
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleDetailed Balance and Intermediate Statistics
dc.typetext

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