Classical and quantum q-deformed physical systems (Articolo in rivista)

Type
Label
  • Classical and quantum q-deformed physical systems (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1140/epjc/s2006-02557-y (literal)
Alternative label
  • A. Lavagno (1.2); A.M. Scarfone (1,3); P.N. Swamy (4) (2006)
    Classical and quantum q-deformed physical systems
    in European physical journal. C, Particles and fields (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • A. Lavagno (1.2); A.M. Scarfone (1,3); P.N. Swamy (4) (literal)
Pagina inizio
  • 253 (literal)
Pagina fine
  • 261 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 47 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Dipartimento di Fisica, Politecnico di Torino, Italy; 2) INFN-Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Italy; 3) INFM/CNR Istituto Nazionale di Fisica della Materia, Sezione di Torino, Italy; 4) Southern Illinois University, Edwardsville, IL 62026, USA; (literal)
Titolo
  • Classical and quantum q-deformed physical systems (literal)
Abstract
  • On the basis of 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. Within this framework we introduce the q-deformed Hamilton 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. (literal)
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