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Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields

General statistics, second quantization and quarks

M. Cattani, N.C. Fernandes

Published Jan 1, 1984• 7 citations
Publisher
DOI
10.1007/bf02831082

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Australian Journal of Physics•Apr 1, 1975•9 citations
A new generalization of quantum statistics is described, which is different from parastatistics, though it includes Fermi statistics and parafermi statistics of order two. It can be applied to the quantization of nonlinear field theories, without violating the correspondence principle. Like parastatistics, it allows the occupation of a given dynamical state by more than one particle of half-odd-integral spin. A special feature is that quark-like particles are naturally associated in modules, which have many of the characteristics of baryons and mesons. The group theoretical properties of the new statistics, and the implied classification of states, are briefly examined.