Electron-hole pairs binding energies in quantum wires and quantum dots

In a previous paper, we have calculated the binding energies for excitons i n quantum wells [A. Simoes Baptista, H. Santos, Microelectron. Eng. 43-44 ( 1998) 481-487]. This was done by solving simultaneously the Schrodinger and the Poisson equations, which determine the interaction potential, both in a fractional dimensional space [F.H. Stillinger, J. Math. Phys. 18 (6) (197 7) 1224-1234]. Using the same mathematical framework, we now analyse the so -called one-dimensional and zero-dimensional structures. The results we obt ain are essential for simulations of optical-electronic devices that use th e optical absorption and the refractive index dispersion curves. (C) 2000 E lsevier Science S.A. All rights reserved.