Classical q-deformed dynamics

A. Lavagno, A. M. Scarfone and P. Narayana Swamy ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 351-354

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.20.Dd Kinetic theory; 45.20.-d Formalisms in classical mechanics; 02.20.Uw Quantum groups (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00109-x

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