Why do high frequency states get less energy?

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SUMMARY

High frequency states in a quantum ideal gas exhibit less energy than predicted by the equipartition theorem due to the nature of quantum mechanics. Specifically, at very high frequencies, the energy assigned by equipartition becomes lower than the energy of a single quantum, resulting in these states having no energy. This phenomenon is fundamentally explained through the derivation of Planck's law of black body radiation, which clarifies the energy distribution among quantum states.

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JamesJames
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Why is it that higher frequency states in the quantum ideal gas get less energy than what is predicted by the equipartition theorem?

I understand the argument about low frequency states. They do get the same energy..all of them. But high frequency states do not have the same agreement!

Can someone please explain this to me?

James
 
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High frequency quanta have higher energy. At the very highest frequencies the equipartitioned energy is lower than the energy for a single quantum, so these states have no energy in them.
What you're really after is the derivation of Planck's law of black body radiation.
 

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