  We discuss the possibility of interpreting a q-deformed non-interacting
system as incorporating the effects of interactions among its particles. This
can be accomplished, for instance, in an ensemble of $q$-Bosons by means of the
virial expansion of a real gas in powers of the deformed parameter. The lowest
order virial coefficient reduces to the case of the standard, non-interacting
Bose gas, while the higher order virial coefficients contain effects arising
from the interaction. The same picture can be drawn in a quantum mechanical
system where it is shown that the q-deformed momentum can be expanded in a
series contains high-order powers of the standard quantum phase-space
variables. Motivated by this result, we introduce, in the classical framework,
a transformation relating the momentum of a free system with the momentum of an
interacting system. It is shown that the canonical quantization applied to the
interacting system imply a q-deformed quantization for the free system.
