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An interacting particles system revisited in the framework of the q-deformed algebra (Articolo in rivista)

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An interacting particles system revisited in the framework of the q-deformed algebra (Articolo in rivista) (literal)

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A.M. Scarfone; P.N. Swamy (2008)
An interacting particles system revisited in the framework of the q-deformed algebra
in Journal of physics. A, Mathematical and theoretical (Print)
(literal)

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Politecn Torino, CNR, INFM, I-10129 Turin, Italy; So Illinois Univ, Dept Phys, Edwardsville, IL 62026 USA (literal)

Titolo

An interacting particles system revisited in the framework of the q-deformed algebra (literal)

Abstract

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-Boson 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 containing 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 to the momentum of an interacting system. It is shown that the canonical quantization applied to the interacting system implies a q-deformed quantization for the free system. (literal)

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