An interacting ensemble of particles in the context of quantum algebra

In the framework of the q-deformed oscillator algebra we investigate the nature of the interaction among the particles of a free q-boson gas with a view to interpreting the interaction in terms of the general properties of the qdeformation. It is shown that many thermodynamic quantities characterizing the q-boson system can be expressed as power series in the number of particles operator ^N or as a series in the deformation parameter q, implying that the q-deformation can originate from the interaction among the particles of the ensemble. As an example, we derive the virial expansion of the q-boson gas, showing that the lowest order coefficient reduces to the standard virial coefficient of an undeformed boson gas, while the higher order coefficients contain effects arising from interaction.