Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice ⋆ III. From ab-initio models to WKB for Schrödinger-Poisson
نویسندگان
چکیده
This work is concerned with the semiclassical approximation of the SchrödingerPoisson 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.
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