  The main objective of the present work is the development of an analytically
tractable model of screened electron-electron and electron-exciton interactions
in layered systems composed of two parallel semiconductor quantum wells
separated by a dielectric layer. These systems are promising for
superconductivity with excitons-polaritons, and spin manipulation. Polarization
effects induced by the dielectric mismatch in the nanostructure are taken into
account using the image charge method. The obtained analytic expressions are
used to calculate screened electron-electron and electron-exciton interactions;
these are compared to results computed using other recently published models.
