Classical and quantum q-deformed physical systems

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dc.creatorLavagno, A.
dc.creatorScarfone, A. M.
dc.creatorSwamy, P. Narayana
dc.date2006-05-02
dc.date.accessioned2026-07-07T12:25:36Z
dc.date.available2026-07-07T12:25:36Z
dc.descriptionOn the basis of the non-commutative q-calculus, we investigate a q-deformation of the classical Poisson bracket in order to formulate a generalized q-deformed dynamics in the classical regime. The obtained q-deformed Poisson bracket appears invariant under the action of the q-symplectic group of transformations. In this framework we introduce the q-deformed Hamilton's equations and we derive the evolution equation for some simple q-deformed mechanical systems governed by a scalar potential dependent only on the coordinate variable. It appears that the q-deformed Hamiltonian, which is the generator of the equation of motion, is generally not conserved in time but, in correspondence, a new constant of motion is generated. Finally, by following the standard canonical quantization rule, we compare the well known q-deformed Heisenberg algebra with the algebra generated by the q-deformed Poisson bracket.
dc.description9 pages, accepted for publication in "The European Physical Journal C"
dc.identifierhttps://arxiv.org/abs/quant-ph/0605026
dc.identifierhttp://arxiv.org/abs/quant-ph/0605026
dc.identifierEur.Phys.J.C47:253-261,2006
dc.identifierdoi:10.1140/epjc/s2006-02557-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214659
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleClassical and quantum q-deformed physical systems
dc.typetext

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