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Classical q-deformed dynamics

A. Lavagno·A. M. Scarfone·P. Narayana Swamy
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Abstract

On the basis of the quantum q-oscillator algebra in the framework of quantum groups and non-commutative q-differential calculus, we investigate a possible q-deformation of the classical Poisson bracket in order to extend a generalized q-deformed dynamics in the classical regime. In this framework, classical q-deformed kinetic equations, Kramers and Fokker-Planck equations, are also studied. Pacs: 05.20.Dd, 45.20.-d, 02.20.Uw Keywords: Kinetic theory, q-deformed classical mechanics, quantum groups, quantum algebras

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A. Lavagno, A. M. Scarfone, P. Narayana Swamy. 2005-09-19. Classical q-deformed dynamics. https://doi.org/10.1140/epjb%2Fe2006-00109-x

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