Abstract
We have developed a numerical scheme for exact diagonalization of the few-particle electron–hole interaction Hamiltonians with a simultaneous resolution of several discrete conserved quantum numbers such as total electron or hole spins, total angular momentum, or parity. The method was applied to a simple model of a two-dimensional rectangular quantum box of arbitrary size and anisotropy, and containing either several electrons or several electrons and a single valence hole. In this model, effects of box size and anisotropy on the photoluminescence spectra are analyzed. Compared to earlier calculations, we were able to include enough single-particle shells in the many-body Hilbert space to observe the transitions between strong and weak spatial quantization regimes.
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