Interpolation between para-Bose and para-Fermi statistics

Abstract

Using deformed Green&#39;s oscillators and Green&#39;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 &#34;infinite quon&#34;-like (anyon-like).The proposed interpolation does not contain states of negative norms.