A theory for excitons in complex quantum nanostructures with complicat
ed geometries and strong coupling between nanostructures is presented.
Effective mass models with screened Coulomb interaction give reasonab
le ground-state energies for excitons in T-shaped quantum wires, coupl
ed T-quantum wires and quantum dot quantum wells, provided the effects
of complex geometry are included. A sizable shift between exciton sta
tes in quantum wells and T-shaped wires occurs due to a 40% enhancemen
t in binding energy, confinement in the wire, and significant interwir
e coupling.