Nonlinear Schrödinger equations within the Nelson quantization pictures (Articolo in rivista)

Type
Label
  • Nonlinear Schrödinger equations within the Nelson quantization pictures (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/S0034-4877(03)80016-2 (literal)
Alternative label
  • G. Kaniadakis; A.M. Scarfone (2003)
    Nonlinear Schrödinger equations within the Nelson quantization pictures
    in Reports on mathematical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • G. Kaniadakis; A.M. Scarfone (literal)
Pagina inizio
  • 225 (literal)
Pagina fine
  • 231 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 51 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Fisica, Politecnico di Torino and Istituto Nazionale di Fisica della Mate&, Unita de1 Politecnico di Torino (literal)
Titolo
  • Nonlinear Schrödinger equations within the Nelson quantization pictures (literal)
Abstract
  • We present a class of nonlinear Schr6dinger equations (NLSES) describing, in the mean field approximation, systems of interacting particles. This class of NLSES is obtained generalizing expediently the approach proposed in [G. K., Phys. Rev. A 55, 941 (199711, where a classical system obeying to an exclusion-inclusion principle is quantized using the Nelson stochastic quantization. The new class of NLSEs is obtained starting from the most geneml nonlinear classical kinetics compatible with a constant diffusion coefficient D = h/2m. Finally, in the case of s-stationary states, we propose a transformation which linearizes the NLSEs here proposed. (literal)
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