Under its classical form, the envelope function theory generally used to ca
lculate electronic properties of semiconductor heterostructures is << super
symmetric >>. In particular for a structure grown along the [001] axis the
theory predicts uncoupled heavy and light holes at the Brillouin zone cente
r. As a consequence, optical properties should be independent of the polari
zation for Light propagating along the growth axis, even if an electric fie
ld is applied along this direction. Some discrepancies to this prediction m
ay be obtained by including second order corrective terms in the k.p Hamilt
onian : they have been calculated but are actually small. We observe in the
contrary that InGaAs-InP multi-quantum wells show a very large dichroism w
hich may be modified by an applied electric field : this is the quantum con
fined Pockels effect. We show how to complete the envelope function theory
in agreement with group theory considerations and explain these observation
s.