In this paper, we first discuss the general properties of an
intermediate-statistics quantum bracket, [u,v]nβ=uvβei2Ο/(n+1)vu,
which corresponds to intermediate statistics in which the maximum occupation
number of one quantum state is an arbitrary integer, n. A further study of
the operator realization of intermediate statistics is given. We construct the
intermediate-statistics coherent state. An intermediate-statistics oscillator
is constructed, which returns to bosonic and fermionic oscillators respectively
when nββ and n=1. The energy spectrum of such an
intermediate-statistics oscillator is calculated. Finally, we discuss the
intermediate-statistics representation of angular momentum (su(2)) algebra.
Moreover, a further study of the operator realization of intermediate
statistics is given in the Appendix.Comment: 12 pages, no figures. Revte