Occupation Numbers Of Phonons/Photons

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In summary, occupation numbers of phonons/photons refer to the distribution of particles in a system and are determined by the Bose-Einstein distribution. The main difference between phonons and photons is their nature and statistical behavior. These numbers play a crucial role in thermal conductivity and can be manipulated by changing external parameters.
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pirate phy
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According to Mahan, phonons or photons doesn't have occupation number. Is this true?http://i.tinyuploads.com/MBwW0j.jpg
 
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there are states with definite photons number (Fock states)
and there are states (e.g coherent states) which are not eigenvectors of the " occupation number" hermitian operator.
 
  • #3
pirate phy said:
According to Mahan, phonons or photons doesn't have occupation number. Is this true?http://i.tinyuploads.com/MBwW0j.jpg

The text is not saying that. It says that the particular states mentioned (excitations) are
superpositions of states with a different but definite number of photons.
 

FAQ: Occupation Numbers Of Phonons/Photons

What are occupation numbers of phonons/photons?

Occupation numbers of phonons/photons refer to the number of phonons or photons present in a specific energy state. These numbers are used to describe the distribution of particles in a system and are important in understanding thermodynamic processes.

How are occupation numbers of phonons/photons determined?

The occupation numbers of phonons/photons are determined by the Bose-Einstein distribution, which describes the probability of a particle occupying a specific energy state at a given temperature. This distribution takes into account the quantum nature of particles, such as phonons and photons.

What is the difference between occupation numbers of phonons and photons?

The main difference between occupation numbers of phonons and photons is that phonons are collective excitations of a solid, while photons are individual particles of light. Additionally, phonons follow Bose-Einstein statistics, while photons follow either Bose-Einstein or Fermi-Dirac statistics, depending on the system.

How do occupation numbers of phonons/photons affect thermal conductivity?

The occupation numbers of phonons/photons play a crucial role in determining thermal conductivity. In a solid, the more phonons present in a specific energy state, the more efficient heat transfer will be. In contrast, in a gas, the occupancy of photons in certain energy states can affect the thermal conductivity of the gas.

Can occupation numbers of phonons/photons be manipulated?

Yes, the occupation numbers of phonons/photons can be manipulated by changing the temperature or other external parameters in a system. This can be useful in controlling the thermal conductivity of a material or in studying the behavior of particles in different energy states.

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