Dispersion Relation: Photons vs Bosons

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Homework Help Overview

The discussion revolves around the dispersion relation for photons and its implications for bosons, with a specific inquiry into how the relation might differ for other types of bosons.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of bosons and their relationship to photons, questioning the uniqueness of the dispersion relation. There is an attempt to clarify the classification of particles, specifically addressing confusion between bosons and fermions.

Discussion Status

The discussion is ongoing, with participants providing clarifications and exploring different interpretations of the relationship between photons and bosons. Some guidance has been offered regarding the classification of particles, but no consensus has been reached on the dispersion relation for bosons.

Contextual Notes

There appears to be some confusion regarding the definitions of bosons and fermions, which may affect the understanding of the dispersion relations being discussed.

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Homework Statement


I wonder if dispersion relation for photons is [tex]\omega= ck[/tex] what it will be for bosons?


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The Attempt at a Solution


 
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Photons ARE bosons. Bosons are a general class of particle, so your question doesn't have a unique answer.
 
okej, I thought photons were fermions...
 
A nonrelativistic particle has a dispersion relation which is

[tex]\omega = \frac{\hbar k^2}{2m}.[/tex]

As [tex]k\rightarrow m[/tex] the dispersion relation approaches the relativistic [tex]\omega = k c[/tex].
 

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