I Can the Planck equation be derived by considering phonons?

AI Thread Summary
Phonons represent thermal vibrations in a lattice, and blackbody radiation results from these thermal oscillations. The discussion explores whether the Planck equation can be derived by combining the concepts of phonons and blackbody radiation. It is noted that phonons in thermal equilibrium adhere to the Planck distribution. The derivation of the Planck distribution is linked to quantum statistical mechanics applied to bosons. The conversation highlights the need for clarity on the principles involved in this derivation.
Austin Daniel
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As far as I understand, phonons are just thermal vibrations of atoms in a lattice and blackbody radiation is just the radiation emittied due to thermal oscillations accelerating the atoms back and forth. Is there any example of a derivation of the Planck equation from considering black body radiation as a combination of these two principles?
 
The phonons in a solid at thermal equilibrium follow the Plank distribution as well.
I don't see what are the "two principles" you mention in the OP.
The Plank distribution ca be derived from quantum statistical considerations, applied to bosons.
 

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