SOLVED: This problem concerns a collection of N identical harmonic oscillators (perhaps an Einstein solid or the internal vibrations of gas molecules) at temperature T . As in Section 2.2, the allowed energies of each oscillator are 0, h f 2 h f, and so on. (a) Prove by long division that (1)/(1-x)=1 x x^2 x^3 ⋯For what values of x does this series have a finite sum? (b) Evaluate the partition function for a single harmonic oscillator. Use the result of part (a) to simplify your answer as much a

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