Spectral density functions for amorphous solids

The spectral density function A(Q,ω), proportional to the imaginary part of the single-particle Green's function G(Q,ω), is calculated exactly for a one-dimensional model of an amorphous solid. In addition to a Hamiltonian that describes electrons in the tight-binding approximation or spin waves, we also treat one that describes phonons. The insight gained from the model calculation is applied to recent neutron scattering results of Mook et al