A general expression for the classical Hamiltonian is: H = α p i 2 + H² where
Question:
H = α pi2 + H€²
where pi is the momentum along one dimension for particle i, α is a constant, and H€² are the remaining terms in the Hamiltonian. Substituting this into the equipartition theorem yields:
a. Starting with this expression, isolate the term involving pi and determine its contribution to q.
b. Given that the average energy, Œ©ÎµŒª, is related to the partition function as follows:
Evaluate the expression for the contribution from pi. Is your result consistent with the equipartition theorem?
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a b The result is consistent with ...View the full answer
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