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.
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Lavagno, A., Scarfone, A. & Narayana Swamy, P. Classical q-deformed dynamics. Eur. Phys. J. B 50, 351–354 (2006). https://doi.org/10.1140/epjb/e2006-00109-x
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DOI: https://doi.org/10.1140/epjb/e2006-00109-x