Classical q-deformed dynamics |
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| Authors: | A Lavagno A M Scarfone P Narayana Swamy |
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| Institution: | (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 |
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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. |
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| Keywords: | 05 20 Dd Kinetic theory 45 20 -d Formalisms in classical mechanics 02 20 Uw Quantum groups |
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