Interpolation between para-Bose and para-Fermi statistics

Mathematics – Quantum Algebra

Scientific paper

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15 pages, LATEX, no figures, (to appear in Phys.Lett.A)

Scientific paper

10.1016/0375-9601(96)00239-3

Using deformed Green's oscillators and Green's Ansatz,we construct a multiparameter interpolation between para-Bose and para-Fermi statistics of a given order. When the interpolating parameters $q_{ij}$ satisfy $|q_{ij}|<1 (|q_{ij}|= 1)$, the interpolation statistics is "infinite quon"-like (anyon-like).The proposed interpolation does not contain states of negative norms.

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