Summary
Many relations have been given connecting connecting the dispersion relations and frequency spectrum for a vibrating lattice. It is the purpose of this paper to show that these relations can all be derived from a single integral representation by using different representations of theδ-function.
Riassunto
Sono state formulate molte espressioni che mettono in rapporto le relazioni di dispersione con lo spettro di frequenza di un reticolo in vibrazione. È scopo di questo articolo mostrare che queste relazioni si possono tutte derivare da un’unica rappresentazione integrale usando diverse rappresentazioni della funzioneδ.
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This research was partially supported by the United States Air Force Office of Scientific Research under Contract AF18(600)1315.
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Maradudin, A.A., Weiss, G.H. Dispersion relations and vibrational frequency spectra. Nuovo Cim 15, 408–415 (1960). https://doi.org/10.1007/BF02902576
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DOI: https://doi.org/10.1007/BF02902576