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\sect{Heat capacity of harmonic oscillator}

Find the energy and the heat capacity of the next system:
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\[\hat{H}=\frac{\hat{p}^{2}}{2m}+\frac{1}{2}mw^{2}\hat{X}^{2}\]
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This system can be a model to a particle adsorbed to the surface of
a solid. Compare to the result you get in a classical treatment.



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