  The varying-mass Schr\"odinger equation (VMSE) has been successfully applied
to model electronic properties of semiconductor hetero-structures, for example,
quantum dots and quantum wells. In this paper, we consider VMSE with small
random heterogeneities, and derive a radiative transfer equation as its
asymptotic limit. The main tool is to systematically apply the Wigner transform
in the classical regime when the rescaled Planck constant $\epsilon\ll 1$, and
expand the Wigner equation to proper orders of $\epsilon$. As a proof of
concept, we numerically compute both VMSE and its limiting radiative transfer
equation, and show that their solutions agree well in the classical regime.
