Interaction of quantum well excitons with a resonant localized excitation

We consider Wannier-Mott exciton in a semiconductor quantum well coupled via Coulomb interaction to a resonant localized excitation (a luminescent molecule or a quantum dot) placed nearby. As a result, the localized excitation can decay into the quantum well, which can be used for indirect pumping of Wannier excitons. On the other hand, Wannier excitons are scattered, and the scattering can be elastic or inelastic, depending on the strength of the dissipation in the molecule. We also show how the inelastic scattering transforms into the F\"orster picture of energy transfer when many molecules (quantum dots) with strong intrinsic dissipation are present.