Abstract
If the author works directly with the dynamic matrix, the spectral moments method allows the direct determination of the response of harmonic materials without any calculation of eigenvalues or eigenvectors. The method selects directly in the frequency spectrum the active modes with the right magnitude. The author presents a new development of this method and applies it to the determination of the inelastic neutron scattering cross section of systems. He illustrates these results via applications to several models: a perfectly dimerised chain, chains with incommensurate distortions and quasi-crystals.
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