  The Lloyd model is extended to the exciton problem in quasi one-dimensional
structures to study the interplay between the Coulomb attraction and disorder
scattering. Within this model the averaging and resummation of the locator
series can be performed analytically. As an application, the optical absorption
in quantum box wires is investigated. Without electron-hole interaction,
fluctuations in the well-width lead to an asymmetric broadening of the
minibands with respect to the lower and upper band-edges.
