We present a general approach to numerical calculations providing the confi
ned states in semiconductor heterostructures. This method is applied to GaA
s/Ga0.80Al0.20As quantum wire superlattices with a parallelogram section el
aborated by the original method of structuration, the 'Atomic Saw'. Thus, t
he modeling has to deal with the wire shape, the structure periodicity, and
the Luttinger Hamiltonian formulation with a spin quantization z-axis para
llel to the [hhk] direction. The optical properties of such heterostructure
s, investigated by photoluminescence excitation and linear polarization mea
surements, match well with the theoretical analysis.