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We have analyzed the energetics of decay of the X^- trion (exciton +electron) on the assumption that the exciton and trion are independentexcitations of a single two-dimensional semiconducting quantum well. For thefirst time, it has been shown that in filling a well with electrons from aselective donor-doped matrix, the binding energy of the trion (of the electronwith the exciton) increases linearly with a shift of the Fermi level into thedepth of the c band. This agrees with the well-known experimental data on thelow-temperature radiative decay (photoluminescence) of trions in theheterostructures ZnSe/Zn_0.89Mg_0.11S_0.18Se_0.82 and CdTe/Cd_0.7Mg_0.3Te.

Analog of the Auger effect in radiative decay of a trion in a quantum well