http://www.cnr.it/ontology/cnr/individuo/prodotto/ID7866
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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- 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)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Gosse L.; Mauser N.J. (literal)
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- 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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