Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521429 | Journal of Computational Physics | 2006 | 21 Pages |
Abstract
This work is concerned with the semiclassical approximation of the Schrödinger–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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Laurent Gosse, Norbert J. Mauser,