What is the limit of classical electrodynamics?

In summary, the interaction between an electron and an electromagnetic wave may not follow the laws of classical electrodynamics when the interaction of single photons with electrons becomes significant, such as in the photoelectric effect. This is typically seen in nearly static fields, long-wavelength radiation, and extremely intense visible light. Good references on this topic may be difficult to find, but further research may yield helpful sources.
  • #1
KristallIsa
1
0
Hello everyone,

I was wondering about the following question:

Under what condition(s) could one say that the interaction between an electron and an electromagnetic wave is not governed anymore by the laws of classical electrodynamics?

I would also be glad if someone could point out any good references on this topic. I've been searching for some time already but with not much luck...!

Thank you very much.
 
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  • #2
If the interaction of single photons with electrons becomes significant (for example at the photoelectric effect), classical ED will give wrong predictions. In the limit of many photons, it should be fine. This is usually the case with (nearly) static fields or radiation with long wavelengths, and sometimes with visible light of extreme intensity.
 

1. What is classical electrodynamics?

Classical electrodynamics is a branch of physics that deals with the study of electromagnetic phenomena, such as the interactions between charged particles and the electromagnetic field.

2. What are the fundamental principles of classical electrodynamics?

The fundamental principles of classical electrodynamics are Maxwell's equations, which describe the behavior of electric and magnetic fields, and the Lorentz force law, which explains the motion of charged particles in an electromagnetic field.

3. What is the role of classical electrodynamics in modern physics?

Classical electrodynamics is the basis for understanding and predicting the behavior of electromagnetic waves, which are essential in various fields such as optics, telecommunications, and particle physics. It also serves as a foundation for the development of more advanced theories, such as quantum electrodynamics.

4. Is there a limit to classical electrodynamics?

Yes, classical electrodynamics has its limitations. It cannot fully explain certain phenomena, such as the photoelectric effect and the behavior of subatomic particles, which require the use of quantum mechanics. Additionally, it does not take into account the effects of general relativity, which is necessary to describe gravity.

5. Can classical electrodynamics be applied to all scales?

No, classical electrodynamics only applies to macroscopic scales. At the microscopic level, quantum electrodynamics is needed, and at the cosmological level, general relativity is required. Classical electrodynamics serves as an effective theory for describing electromagnetic phenomena at scales that are large compared to the atomic level but small compared to the size of the universe.

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