most citedDispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains

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math.SP2009★ 3 cited

Analysis of the Vibrational Mode Spectrum of a Linear Chain with Spatially Exponential Properties

Thomas Michelitsch, Gérard A. Maugin, Andrzej. F. Nowakowski +1

We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We…