Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. (Articolo in rivista)

Type
Label
  • Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Gosse L., Jin S., Li X. (2003)
    Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation.
    in Mathematical models and methods in applied sciences
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Gosse L., Jin S., Li X. (literal)
Pagina inizio
  • 1689 (literal)
Pagina fine
  • 1723 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 13 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Titolo
  • Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation. (literal)
Abstract
  • Two systems of hyperbolic equations, arising in the multiphase semiclassical limit of the linear Schr\"odinger equations, are investigated. One stems from a Wigner measure analysis and uses a closure by the Delta functions, whereas the other relies on the classical WKB expansion and uses the Heaviside functions for closure. The two resulting moment systems are weakly and non-strictly hyperbolic respectively. They provide two different Eulerian methods able to reproduce superimposed signals with a finite number of phases. Analytical properties of these moment systems are investigated and compared. Efficient numerical discretizations and test-cases with increasing difficulty are presented. (literal)
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