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At what temperature is the average population of the lower energy state twice that of the higher energy one? Compare the result to that of classical particles and explain the dierence.

Consider \(N \gg 1\) spinless bosons which can occupy either of two states, with energies 0 and \(\epsilon,\) respectively. At what temperature is the average population of the lower energy state twice that of the higher energy one?| Compare the result to that of classical particles and explain the difference.

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