Interacting particles system revisited in the framework of the q-deformed algebra

Simple item page
dc.creatorScarfone, A. M.
dc.creatorSwamy, P. Narayana
dc.date2008-07-16
dc.date.accessioned2026-07-07T11:44:50Z
dc.date.available2026-07-07T11:44:50Z
dc.descriptionWe 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.
dc.description13 pages, no figures, accepted on JPA
dc.identifierhttps://arxiv.org/abs/0807.2510
dc.identifierhttp://arxiv.org/abs/0807.2510
dc.identifierJ.Phys.A41:275211,2008
dc.identifierdoi:10.1088/1751-8113/41/27/275211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201694
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleInteracting particles system revisited in the framework of the q-deformed algebra
dc.typetext

Files

Collections

arXiv