On the Generalized Exclusion Statistics

dc.creatorRachidi, M.
dc.creatorSaidi, E. H.
dc.creatorZerouaoui, J.
dc.date2001-03-26
dc.date.accessioned2026-07-07T04:11:28Z
dc.date.available2026-07-07T04:11:28Z
dc.descriptionWe review the principal steps leading to drive the wave function $ψ_{\{k_1,k_2,...,k_N \}}(1,2,...,N)$ of a gaz of $N$ identical particle states with exotic statistics. For spins $s=1/M$ $mod(1)$, we show that the quasideterminant conjectured in [19], by using $2d$ conformal field theoretical methods, is indeed related to the quantum determinant of noncommutative geometry. The q-number $[N]!=\prod_{n=1}^N(\sum_{j=0}^{N-1} q^j)$ carrying the effect of the generalized Pauli exclusion principle, according to which no more than $(M-1)$ identical particles of spin $s=1/M$ $mod(1)$ can live altogether on the same quantum state, is rederived in rigourous from the q-antisymmetry. Other features are also given.
dc.description13 pages, Latex. To be submitted to Journal of Math. Phys
dc.identifierhttps://arxiv.org/abs/hep-th/0103212
dc.identifierhttp://arxiv.org/abs/hep-th/0103212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50601
dc.subjectHigh Energy Physics - Theory
dc.titleOn the Generalized Exclusion Statistics
dc.typetext

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