A detailed comparative study is made of the electronic states of a dig
ital quantum well (DQW) AlxGa(1-x)As/GaAs structure and its equivalent
graded-composition analog quantum well with the purpose of finding ou
t in detail to what extent the two structures have similar or differen
t properties. The calculation is based on an empirical sp(3)s tight-b
inding model with spin and is carried out by surface Green function ma
tching employing an algorithm previously developed and used by the aut
hors to study inhomogeneous systems. It is found that some basic featu
res of the electronic states, notably the spatial distribution of thei
r amplitude, can be drastically different, displaying the multiwell st
ructure of the DQW.