2008/06/16 by A. M. Scarfone, A M Scarfone, P. Narayana Swamy +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/1751-8113/41/27/275211
published as J.Phys.A41:275211,2008 · 13 pages, no figures, accepted on JPA
openalex publication_date 2008/06/16 · arxiv created 2008/07/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.