  The influence of free carriers on the ground state of the exciton at zero
magnetic field in a quasi-two-dimensional quantum well doped with electrons is
considered in the framework of the random phase approximation. The effects of
the exciton-charge-density interaction and the inelastic scattering processes
due to the Hartree-Fock electron-electron exchange interaction are taken into
account. The effect of phase-space filling is considered using an approximate
approach. The results of the calculation are compared with the experimental
data available.
