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Consider N atoms separated by springs of force constant C. If one writes up the N linear differential equations for the displacements of the string, you find that the solutions are traveling wavse of the form exp(ikx) and on finds a dispersional relation of the form:
sin(...), which means that there is a maximum frequency which the oscillations can support. I want to understand this last phenomenon that there is an upper bound on the frequence. Why is that so? What happens at this maximal frequency and what happens if we try to oscillate the atoms with a higher frequency that the maximal?
sin(...), which means that there is a maximum frequency which the oscillations can support. I want to understand this last phenomenon that there is an upper bound on the frequence. Why is that so? What happens at this maximal frequency and what happens if we try to oscillate the atoms with a higher frequency that the maximal?
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