High frequency states get less energy WHY?

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SUMMARY

Higher frequency states in a quantum ideal gas exhibit lower energy levels than predicted by the equipartition theorem. This discrepancy arises because, unlike low frequency states that share equal energy, high frequency states do not conform to this uniform distribution. The discussion highlights the need for a deeper understanding of quantum mechanics and statistical physics to explain this phenomenon.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Equipartition theorem principles
  • Statistical mechanics concepts
  • Understanding of ideal gas behavior
NEXT STEPS
  • Study the implications of the equipartition theorem in quantum systems
  • Explore the differences between classical and quantum statistical mechanics
  • Investigate the role of frequency in energy distribution of quantum states
  • Learn about Planck's law and its relation to energy quantization
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics and statistical physics, will benefit from this discussion.

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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JamesJames said:
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

It isn't nice to spam-post the identical thing to several sections. We all read them, so pick one, and stick with one.

Zz.
 
I' m sorry..when I clicked post the computer shut down so I did not know if it had posted and did not have time to check so I posted again thinking it did not get posted. I' m really sorry for the confusion. I was not meaning to overflow the forums.

Any ideas about the question?

James
 

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