An immediate problem that presented itself in the physics of nanostructures, formed from two semiconductors, was to describe conditions at their interface. In principle, band-structure and lattice-dynamical calculations could be performed to give the eigenvalues and eigenstates of the whole heterostructure, but any result along these lines would refer only to the special case considered, and would provide little in the way of providing criteria for predicting the properties of the huge number of structures that were conceivableThis chapter will outline classical connection rules for acoustic modes, detailed connection rules for optical modes, and electromagnetic interface conditions.
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