Consider a system of N uncoupled harmonic oscillators with Hamiltonian, H=(p/2m+kq/2). Assume that the system initially has

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Consider a system of N uncoupled harmonic oscillators with Hamiltonian, H=(p/2m+kq/2). Assume that the system initially has a probability density P(p,q,0)=6(pi-Po)&(q-90). Compute the probability density p(p,q,t) =(PPN) and q = (q1,qN). at time t, where =

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