Relation between QED photon frequency and classical EM frequency

In summary, the conversation discusses the concept of frequency for photons, specifically in regards to the interference profile and emission from an antenna. It is noted that Feynman's book may not accurately reflect the more advanced concepts of quantum physics, and the relationship between frequency and number of photons is clarified. Additionally, the frequency for single photons is discussed as being related to energy and Planck's constant.
  • #1
apb86
4
0
Hello,

I read the Feynman's QED book, where I learned that a photon has a intrinsic property called frequency. This property affect, for example, the interference profile when we have a lot of photon together. Ok.

Now, thinking on an conventional antenna. When we have a 100kHz signal on it, it means that the photons being emitted have a frequency of 100kHz? For me it seems that the thing is not like this, it seems to me that the frequency emitted by an antenna is more relate to the quantity of photons being emitted each time... So, what frequency are these photons?

I may be missing a detail, or I may be completely wrong..

Best Regards,
Alexandre
 
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  • #2
Each individual photon has that frequency as can be seen in the double slit experiment when only a single photon is present.

But care is required here. Feynmans book, as excellent as it is, is like many books at the lay or beginning level of physics. It isn't quite true - the issues being fixed up in more advanced treatments its very difficult to discuss except at an advanced technical level eg:
https://www.physicsforums.com/showthread.php?t=763781

This applies to the very existence of a single photon for example. In the correct theory - Quantum Field Theory - it actually consists of creation and annihilation operators - without discussing what that even means - which is itself an advanced issue.

Thanks
Bill
 
Last edited:
  • #3
apb86 said:
it seems to me that the frequency emitted by an antenna is more relate to the quantity of photons being emitted each time... So, what frequency are these photons?
Best Regards,
Alexandre

No, the quantity i.e number of photons emitted is the intensity or the amplitude squared.

Frequency = speed of light * wavelength

For single photons the frequency is a slightly different concept:

frequency = E / h which is Energy divided by Planck's constant.
 

FAQ: Relation between QED photon frequency and classical EM frequency

What is the difference between QED photon frequency and classical EM frequency?

The main difference between QED photon frequency and classical EM frequency is in their underlying theories. QED (Quantum Electrodynamics) is a quantum field theory that describes the interactions between matter and electromagnetic radiation, while classical EM (Electromagnetism) is a classical theory that describes the behavior of electric and magnetic fields. QED takes into account the discrete nature of photons, while classical EM treats light as a continuous wave.

How are QED photon frequency and classical EM frequency related?

QED photon frequency and classical EM frequency are related through the Planck-Einstein relation, which states that the energy of a photon (and thus its frequency) is directly proportional to its frequency. This means that as the frequency of a photon increases, so does its energy, according to this relation.

Can the classical EM frequency of a photon be measured?

No, the classical EM frequency of a photon cannot be measured directly. This is because classical EM treats light as a continuous wave, so the concept of frequency does not apply to individual photons. However, the average frequency of a large number of photons can be measured, which would provide an estimation of the classical EM frequency.

How does the QED photon frequency affect the behavior of light?

The QED photon frequency plays a crucial role in determining the behavior of light. Since the energy of a photon is directly proportional to its frequency, a higher frequency photon will have more energy and thus exhibit different behaviors compared to a lower frequency photon. For example, high frequency photons have shorter wavelengths and can penetrate materials more easily, making them useful in medical imaging and communication technologies.

Is there a limit to the frequency of a photon in QED?

Yes, according to QED, there is a limit to the frequency of a photon, known as the Planck frequency. This frequency is so high that it is beyond our current technological capabilities to measure, and it is theorized that at this frequency, the laws of physics as we know them break down. It is an important concept in understanding the fundamental limits of our universe.

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