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SOLVED: (Based on Griffiths 4.48) In classical mechanics one can prove the virial theorem which states that the average kinetic energy T of a bound particle is related to the force F

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SOLVED: Consider any two continuous functions of the generalized coordinates and momenta g(qk, pk) and h(qk, pk) . The Poisson brackets are defined by [g, h]=∑k((∂ g)/(∂ qk)(∂ h)/(∂ pk)-(∂ g)/(∂ pk)(∂

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SOLVED: Consider a classical ideal gas of N particles that feels a linear gravitational potential Vz = mgz, where m is the mass of a single atom and 0 < z <