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The single-quantum annihilation process of the biexciton as a whole a t the inelastic collision of the biexciton with an exciton is studied. Analytic expressions for the spectral and temperature dependence of the transition probability are obtained for allowed interband optical transition for various temperatures of the evciton and biexciton subsystems. It is shown that the single-photon radiative recombination process of the biexciton as a whole in the presence of the exciton is characterized by a transition probability different from zero in the crystal with the symmetry centre in the dipole approximation, while the biexciton radiative recombination itself is impossible.

It is shown that in ZnSe/(Zn, Mn) Se quantum wells six biexcitonic states can exist. The group-theoretical classification of these states is performed. The probabilities of biexciton two-photon absorption, hyper-Raman scattering, and radiative recombination are calculated. The polarization properties of two-photon absorption of two-and three-dimensional excitons are discussed.Es wird gezeigt, daL3 in ZnSe/(Zn, Mn) Se-Quantenwells sechs Biexzitonenzustande existieren. Es wird eine gruppentheoretische Klassifizierung dieser Zustande durchgefiihrt. Die Wahrscheinlichkeiten von Biexzitonen-Zwei-Photonenabsorption, Hyper-Ramanstreuung und strahlender Rekombination werden berechnet. Die Polarisationseigenschaften der Zwei-Photonenabsorption von zwei-und dreidimensionalen Exzitonen werden diskutiert.