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Quantum statistical mechanics: Return of the simple harmonic oscillator

The energy levels of a quantum SHO are given by

1. Calculate the QM partition function.

2. Calculate the probability that a measurement of the energy will find the QM SHO in the n-th eigenstate.

3. Calculate the average energy.

4. Calculate the specific heat.

5. Calculate the high-temperature limit of the specific heat.

6. Calculate the leading term in a low-temperature expansion of the specific heat. (You should be able to figure out what a good quantity to expand in would be.)

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Mechanical Engineering, Engineering

Category:- Mechanical Engineering
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