Electromagnetic field and frequency

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Discussion Overview

The discussion centers on the relationship between electromagnetic fields, energy density, and the concept of frequency in the context of electromagnetism and quantum mechanics. Participants explore how to reconcile classical electromagnetic theory with quantum concepts, particularly regarding the role of photons.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that the energy density of electromagnetism does not explicitly include frequency, raising questions about how to incorporate this aspect with quantum mechanics and photons.
  • Another participant advises against introducing photons into the discussion, suggesting that it complicates the understanding of electric and magnetic fields and electromagnetic waves.
  • A later reply reiterates the advice to treat electric and magnetic fields as separate from photons, suggesting that the number of photons corresponds to energy density based on frequency.
  • Additionally, one participant emphasizes that photons should be treated as quantum fields rather than particles, arguing that a first-quantization approach is outdated and misleading.

Areas of Agreement / Disagreement

There is no consensus on whether to incorporate photons into the discussion, with some participants advocating for their exclusion while others suggest a reconciliation with quantum concepts.

Contextual Notes

Participants express differing views on the relevance of photons in understanding electromagnetic fields, indicating a potential limitation in reconciling classical and quantum perspectives.

sweet springs
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Electromagnetism gives the energy density ##\frac{\epsilon_0}{2}E^2+\frac{1}{2\mu_0}B^2##. It does not include frequency ##\nu## or ##\omega## at least explicitly that QM or photon needs. For an example static electric field has nothing to do with frequency but has energy. How should I incorporate these two views?
 
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sweet springs said:
How should I incorporate these two views?
Don't! :smile:

There is no need to introduce photons here, and it will only detract you from understanding what is going on. Threat the electric and magnetic fields as fields, and electromagnetic waves as waves, and everything will work out.

If you absolutely need to reconcile it with a photon concept, you would simply have more or fewer photons for the same energy density, depending on the frequency of the photons.
 
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Thanks for your advice. I will follow.
 
DrClaude said:
Don't! :smile:

There is no need to introduce photons here, and it will only detract you from understanding what is going on. Threat the electric and magnetic fields as fields, and electromagnetic waves as waves, and everything will work out.

If you absolutely need to reconcile it with a photon concept, you would simply have more or fewer photons for the same energy density, depending on the frequency of the photons.
To add to the above list of advices: Also treat photons as (quantum) fields. They are in no way similar to anything you'd call a particle in everyday life, and in the 21st century relativstic QT should be learned only as QFT. A first-quantization approach is outdated and misleading!
 
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