Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-07-16
J.Phys.A41:275211,2008
Physics
Condensed Matter
Statistical Mechanics
13 pages, no figures, accepted on JPA
Scientific paper
10.1088/1751-8113/41/27/275211
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.
Scarfone Antonio Maria
Swamy Narayana P.
No associations
LandOfFree
Interacting particles system revisited in the framework of the q-deformed algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Interacting particles system revisited in the framework of the q-deformed algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interacting particles system revisited in the framework of the q-deformed algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-660306