Eur. Phys. J. B 50, 351-354 (2006)
https://doi.org/10.1140/epjb/e2006-00109-x

Classical q-deformed dynamics

¹ Dipartimento di Fisica, Politecnico di Torino, Italy
² Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Torino, Italy
³ Istituto Nazionale di Fisica della Materia (CNR-INFM), Sezione di Torino, Italy
⁴ Southern Illinois University, Edwardsville, IL, 62026, USA

Corresponding author: ^a pswamy@siue.edu

Received: 29 September 2005
Revised: 29 November 2005
Published online: 12 April 2006

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.