Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, III. From ab-initio models to WKB for Schrodinger-Poisson (Articolo in rivista)

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Label
  • Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, III. From ab-initio models to WKB for Schrodinger-Poisson (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.jcp.2005.05.020 (literal)
Alternative label
  • Gosse L.; Mauser N.J. (2006)
    Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, III. From ab-initio models to WKB for Schrodinger-Poisson
    in Journal of computational physics (Print); Elsevier, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Gosse L.; Mauser N.J. (literal)
Pagina inizio
  • 326 (literal)
Pagina fine
  • 346 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 211 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Wolfgang Pauli Institute c/o Fak. f. Mathematik; Univ. Wien Nordbergstrasse, 15, A-1090 Vienna, Austria (literal)
Titolo
  • Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice, III. From ab-initio models to WKB for Schrodinger-Poisson (literal)
Abstract
  • This work is concerned with the semiclassical approximation of the Schro¨dinger-Poisson equation modeling ballistic transport in a 1D periodic potential by means of WKB techniques. It is derived by considering the mean-field limit of a N-body quantum problem, then K-multivalued solutions are adapted to the treatment of this weakly nonlinear system obtained after homogenization without taking into account for Pauli?s exclusion principle. Numerical experiments display the behaviour of self-consistent wave packets and screening effects (literal)
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