An interacting ensemble of particles in the context of quantum algebra

作者:Scarfone A M*; Swamy P Narayana
来源:Journal of Statistical Mechanics: Theory and Experiment , 2009, 2009(02): P02055.
DOI:10.1088/1742-5468/2009/02/P02055

摘要

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 q-deformation. 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) over cap 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.

  • 出版日期2009-2