consider a one dimensional crystal consisting of N+2 identical particles each of mass M, the end particles 0 & N+1 being fixed. using the boundary conditons X0 = XN+1 =0 for all values of s prove that the frequancy is given by:
ω= (g /M)^1/2 sin(sπ/2N+2)
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I was wondering the same thing. Huh.... what were the chances?