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

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

2008-04-06

arxiv.org/abs/0804.0885v3

Annals of Physics 325, 10 (2010) 2090-2102

Physics

Mathematical Physics

Scientific paper

10.1016/j.aop.2010.05.003

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.

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