Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes
Mathematical Physics
2010-09-10 v3 math.MP
Abstract
The aim of this paper is to derive a raw Bloch model for the interaction of light with quantum boxes in the framework of a two-electron-species (conduction and valence) description. This requires a good understanding of the one-species case and of the treatment of level degeneracy. In contrast with some existing literature we obtain a Liouville equation which induces the positiveness and the boundedness of solutions, that are necessary for future mathematical studies involving higher order phenomena.
Cite
@article{arxiv.0804.0885,
title = {Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes},
author = {Brigitte Bidégaray-Fesquet},
journal= {arXiv preprint arXiv:0804.0885},
year = {2010}
}