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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:211

Article

Gosse, L ; Mauser, NJ

关键词: Hartree ansatz;    semiclassical limit;    periodic potential;    homogenization;    Vlasov-Poisson equation;    moment method;    nonstrictly hyperbolic systems;   

DOI  :  10.1016/j.jcp.2005.05.020

来源: Elsevier

【 摘 要 】

This work is concerned with the semiclassical approximation of the Schrodinger-Poisson equation modeling ballistic transport in a ID 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. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free