Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes

Brigitte Bidégaray-Fesquet (1)

1 LJK - Laboratoire Jean Kuntzmann

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.

Mots clés: Bloch equations; Quantum box; Positiveness; Degeneracy

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Brigitte Bidégaray-Fesquet. Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes. 2008. ⟨hal-00270556v2⟩