We present the metamorphosis in the effective-potential profile of layered
heterostructures, for several III-V semiconductor binary compounds, when the
band mixing of light and heavy holes increases. A root-locus-like procedure, is
directly applied to an eigenvalue quadratic problem obtained from a
multichannel system of coupled modes, in the context of multiband effective
mass approximation. By letting grow valence-band mixing, it is shown the
standard fixed-height rectangular potential-energy for the scatterer
distribution, to be a reliable test-run input for heavy holes. On the contrary,
this scheme is no longer valid for light holes and a mutable effective
\emph{band offset} profile has to be considered instead, whenever the in-plane
kinetic energy changes.Comment: 12 pages, 5 figure