We have investigated the electronic structure of the conduction band states
in InAs quantum boxes embedded in GaAs. Using cross-sectional scanning tun
neling microscopy and spectroscopy, we report the direct observation of sta
nding wave patterns in the boxes at room temperature. Electronic structure
calculation of similar cleaved boxes allows the identification of the stand
ing waves pattern as the probability density of the ground and first excite
d states. Their spatial distribution in the (001) plane is significantly af
fected by the strain relaxation due to the cleavage of the boxes.