A mathematical–physics approach for studying far-infrared absorption in structurally disordered solids

Abstract

A rigorous analysis is performed in order to characterize the mathematical structure of the integrated coefficient of optical absorption corresponding to structural disorder in amorphous solids. In this approach, the integral of the aforementioned coefficient is considered for the low region of the far-infrared range. Two basic ingredients in our formulation are the dipole-moment matrix element and phonon density of states.