Wavelength of photons exchanged between charged particles

In summary, virtual photons are not real and do not have wavelengths. The distinction between virtual and real photons can sometimes be unclear, but in general, virtual particles are created and destroyed quickly while ordinary particles have a longer lifetime.
  • #1
Sophrosyne
128
21
When two electrons approach each other, there is a repulsion between them by the exchange of a photon as the electromagnetic force carrier. Is there a general range of wavelength of such photons? Does it depend on how rapidly these electrons are approaching each other?
 
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  • #2
These are virtual photons. They are not real. They do not have wavelengths. You can't even count them.
 
  • #3
Vanadium 50 said:
These are virtual photons. They are not real. They do not have wavelengths. You can't even count them.
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What confuses me about that is that it seems the distinction between virtual and real photons greys out a little and is often not so distinct. Let me quote from this Wikipedia article:

"As a consequence of quantum mechanical uncertainty, any object or process that exists for a limited time or in a limited volume cannot have a precisely defined energy or momentum. This is the reason that virtual particles – which exist only temporarily as they are exchanged between ordinary particles – do not necessarily obey the mass-shell relation. However, the longer a virtual particle exists, the more closely it adheres to the mass-shell relation. A "virtual" particle that exists for an arbitrarily long time is simply an ordinary particle – in that sense electromagnetic waves, e.g. in a microwave oven, consist of real photons rather than virtual ones. (A typical power oven emitting microwaves of roughly λ=3cm at a power of 700 W produces 1026[PLAIN]https://wikimedia.org/api/rest_v1/media/math/render/svg/a9abdbae5cf3b55fda1e1574a27911e0aed30f19real photons per second.)

However, all particles have a finite lifetime, as they are created and eventually destroyed by some processes. As such, there is no absolute distinction between "real" and "virtual" particles. In practice, the lifetime of "ordinary" particles is far longer than the lifetime of the virtual particles that contribute to processes in particle physics, and as such the distinction is useful to make."
https://en.m.wikipedia.org/wiki/Virtual_particle
 
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  • #4
That Wikipedia article is a hot mess, with statements true in one context being sprinkled about in other contexts. Virtual photons are not real. They do not have wavelengths. You can't even count them.
 
  • #5
Sophrosyne said:
What confuses me about that is that it seems the distinction between virtual and real photons greys out a little and is often not so distinct. Let me quote from this Wikipedia article:

Stuff like this is the reason that wikipedia is generally not an accepted source here.
 

FAQ: Wavelength of photons exchanged between charged particles

What is the wavelength of photons exchanged between charged particles?

The wavelength of photons exchanged between charged particles depends on the energy of the particles and the distance between them. This wavelength can range from radio waves, which have longer wavelengths, to gamma rays, which have shorter wavelengths.

How does the distance between charged particles affect the wavelength of exchanged photons?

The distance between charged particles affects the wavelength of exchanged photons through the Coulomb force, which determines the strength of the interaction between the particles. As the distance between particles decreases, the force increases and the wavelength of exchanged photons becomes shorter.

What is the relationship between energy and wavelength of exchanged photons?

The energy of charged particles is directly proportional to the frequency of the photons exchanged, and inversely proportional to the wavelength. This means that as the energy of the particles increases, the wavelength of exchanged photons decreases.

Can the wavelength of exchanged photons be calculated?

Yes, the wavelength of exchanged photons can be calculated using the formula λ = hc/E, where λ is the wavelength, h is Planck's constant, c is the speed of light, and E is the energy of the charged particles. This calculation assumes that the particles are moving at a constant speed and in a straight path.

How does the wavelength of exchanged photons impact the behavior of charged particles?

The wavelength of exchanged photons can impact the behavior of charged particles in various ways. For example, shorter wavelengths can cause particles to move faster and farther, while longer wavelengths can cause particles to have more interactions with other particles. Additionally, the wavelength can also affect the stability and energy levels of charged particles, which can have implications for their overall behavior.

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