The statistical aspects of exciton systems are considered. Calculations show that the nonBose character of the statistics plays a fundamental role in forming the exciton echo signal, self-induced transparency, and other superradiant effects. As application of the general theory new phenomena as exciton nutation and forced exciton induction are considered. Comparison with experiment is made for the self-induced transparency in CdS0.75Se0.25.Es werden die statistischen Aspekte des Exzitonensystems betrachtet. Rechnungen zeigen, da13 der Nicht-Bose-Charakter der Statistik eine grundlegende Rolle bei der Bildung des Exzitonen-Echo-Signals, der selbstinduzierten Transparenz und anderen Superstrahlungseffekten spielt. Als Anwendung der allgemeinen Theorie werden neue Phanomene wie die Exzitonennutation und die erzwungene Exzitoneninduktion betrachtet. Ein Vergleich mit dem Experiment wird fur selbstinduzierte Transparenz in CdS0,75Se0,25 durchgefiihrt.
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