  Bose-Einstein correlations of two identically charged $Q$-bosons are derived
considering these particles to be confined in finite volumes. Boundary effects
on single $Q$-boson spectrum are also studied. We illustrate the effects on the
spectrum and on the two-$Q$-boson correlation function by means of two toy
models. We also derive a generalized expression for the Wigner function
depending on the deformation parameter $Q$, which is reduced to its original
functional form in the limit of $Q \to 1$.
