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Let's look at N one-dimensional harmonic oscillators that are indistinguishable from each other in a microcanonical...

Let's look at N one-dimensional harmonic oscillators that are indistinguishable from each other in a microcanonical ensemble. If the mass is m and the frequency is w, use Hamiltonian.

(1) Find the number of states whose energy is between E and E + ΔE through integration, then approximate the entropy from it.

(2) Find the relationship between energy and temperature and the relationship between pressure and temperature.

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