Projective Statistics and Spinors in Hilbert Space

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dc.creatorWilczek, Frank
dc.date1998-06-29
dc.date.accessioned2026-07-07T04:24:44Z
dc.date.available2026-07-07T04:24:44Z
dc.descriptionIn quantum mechanics, symmetry groups can be realized by projective, as well as by ordinary unitary, representations. For the permutation symmetry relevant to quantum statistics of N indistinguishable particles, the simplest properly projective representation is highly non-trivial, of dimension $2^{(N-1)/2}$, and is most easily realized starting with spinor geometry. Quasiparticles in the Pfaffian quantum Hall state realize this representation. Projective statistics is a consistent theoretical possibility in any dimension.
dc.descriptionLaTeX, 3 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9806228
dc.identifierhttp://arxiv.org/abs/hep-th/9806228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55523
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleProjective Statistics and Spinors in Hilbert Space
dc.typetext

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