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2. (a) Find the entropy of a set of N oscillators of frequency ω as a...

2. (a) Find the entropy of a set of N oscillators of frequency ω as a function of the total quantum number n. Using the multiplicity function, g(N, n) = (N + n − 1)! n!(N − 1)! and make the Stirling approximation logN! ≈ NlogN − N. Replace N − 1 by N. (5 points)

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