Small Oscillations - University of California, San Diego
https://courses.physics.ucsd.edu/2010/Fall/physics110a/LECTURES/CH10.pdf
WebSMALL OSCILLATIONS where c= p τ/µis the velocity of wave propagation. This is a linear equation, solutions of which are of the form u(x,t) = Ceiqxe−iωt, (10.90) where ω= cq. (10.91) Note that in the continuum limit a → 0, the dispersion relation derived for the chain becomes ω2 q= 4k m sin2. 1 2qa.
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