*T=const*one has to write a partition function which is something like: Z=Sum_{E_k}e^{-\beta E_k} = .... (considering each degeneracy case...)

= -\epsilon*3*\frac{sinh(3\beta\epsilon)+s

This is however not easy to calculate, especially analytically :)

This is what my students wrote while doing this exercise:

"Somehow it is not possible to plot this function. Looks constant."

"Sorry, I cannot continue anymore..."

"Z=....something weird..."

"Z=long hard derivations; since the task is for 1 point only, I rather skip this part..."

Nice students! I think I'll kill them tomorrow.

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