Maxwell Equations: Radiation requires acceleration?

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Discussion Overview

The discussion centers around the relationship between acceleration and radiation as described by Maxwell's equations, with a particular focus on the implications for thermal radiation and its connection to quantum electrodynamics (QED). Participants explore the conditions under which radiation occurs and the role of charged particles in this process.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether light requires infinite acceleration to radiate, linking this to concepts of specific heat and photon mediation of radiative heat.
  • Another participant challenges the notion of infinite acceleration and states that the amount of radiation is proportional to the radiated power, referencing a relationship involving energy, rest mass, and the speed of light.
  • A participant asserts that if a charged particle has zero acceleration, it does not radiate, raising the question of whether a system of particles at zero acceleration can still emit thermal radiation.
  • Another participant confirms the importance of acceleration for producing synchrotron light, noting that without acceleration, no synchrotron light is produced.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of acceleration for radiation, with some agreeing that acceleration is crucial while others question the implications of this requirement. The discussion remains unresolved regarding the broader implications for thermal radiation and the relationship to QED.

Contextual Notes

Participants reference classical physics concepts and their relation to QED, but there are unresolved assumptions about the definitions of radiation and acceleration in different contexts. The discussion does not clarify the mathematical relationships involved.

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In a lecture on Maxwell's equations, I noticed that for radiation to occur there has to be acceleration. Does this have any relation to specific heat? I have many questions regarding this, actually. If radiative heat is always mediated by photons, and radiation only occurs with acceleration, does that mean that light has infinite acceleration, less it would not be radiating? Forgive any apparent stupidity in the question!

Also, I realize this is from classical physics, but I wanted to relate this directly to QED and understand how they are related, and the same questions apply to QED as well.
 
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hi,
I don't understand about your infinite acceleration!.
But the amount of radiation or amount of light is directly proportional to the radiated power. Also i remember that there is a quantity E/(m0c^2) in that relation which determined the total flux. E - energy, m0 - rest mass and c velocity of light.
Photons are produced from charged particles traveling close to c.
I guess you know this book. Classical electrodynamics by Jackson [sure you will get all information there]
 
Rajini said:
hi,
I don't understand about your infinite acceleration!.
But the amount of radiation or amount of light is directly proportional to the radiated power. Also i remember that there is a quantity E/(m0c^2) in that relation which determined the total flux. E - energy, m0 - rest mass and c velocity of light.
Photons are produced from charged particles traveling close to c.
I guess you know this book. Classical electrodynamics by Jackson [sure you will get all information there]

Right, and that radiated power is dependent on the acceleration of the charged particle. Thus, my question is, if the charged particle is at zero acceleration, it is no longer radiating, correct?

Now consider a system of those charged particles (an ice cube for example), all at zero acceleration, but not zero velocity. They would no longer be radiating heat (light), is this correct?

What I am saying is, I find it odd that in order for there to be thermal radiation, that charged particles must be in a state of acceleration.
 
Hi,
Yes acceleration are important for production of synchrotron light..It is perpendicular to the tangent to the moving particle (i mean pointing towards the center or centripetal acceleration). Therefore, if acceleration is zero then no synchrotron light.
If i am correct, experts (who know about Maxwell relations) could give a proper explanation of this fact
 

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