Massless Particles: Carrying Momentum?

In summary, charged particles interact by exchanging virtual photons, which serve as carriers of momentum and force. Despite being massless and having zero charge, photons are classified as bosons with spin number 1. This raises the question of how a massless particle can carry momentum. However, according to special relativity, the energy and momentum of a particle are related, and even classical electromagnetic fields carry momentum. This applies to photons as well, where the energy and momentum densities of the fields can be considered as E and p.
  • #1
matt_crouch
161
1
In my lecture this morning i was told that charged particles interact by the exchange of virtual photons and that they serve as carriers of momentum and force. But it says that a photon is a boson with spin number 1, massless and zero charge.

The question is basically how can a massless particle carry momentum ?
 
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  • #2
I would ask you: on what mathematical grounds does a massive particle carry momentum ?
 
  • #3
It is irrelevant if it is virtual or not. Real photons are also masless, but they carry momentum. Massless = no rest mass, you are probably thinking about the 'relativistic' mass.
 
  • #4
Elaborating a bit on what Dmitry67 wrote, according to special relativity, the energy, momentum, and rest mass of a particle are related by

[tex]E^2 - \left( cp \right)^2 = \left(m c^2 \right)^2.[/tex]

For a photon, [itex]m=0[/itex] and [itex]E = cp[/itex].

Even classical electromagnetic fields carry momentum.
 
  • #5
George Jones said:
Even classical electromagnetic fields carry momentum.

And with the same relationship, if you considerf E and p as the energy and momentum densities of the fields.
 

FAQ: Massless Particles: Carrying Momentum?

What are massless particles and how do they carry momentum?

Massless particles are particles that have no rest mass, such as photons. They carry momentum through their energy and motion. According to Einstein's famous equation, E=mc^2, energy and mass are interchangeable and a massless particle has energy, therefore it also has momentum.

How can something with no mass have momentum?

As mentioned before, massless particles have energy and according to the laws of physics, anything with energy must also have momentum. Therefore, even though they have no rest mass, massless particles can still carry momentum.

How do we detect and measure the momentum of massless particles?

Massless particles are often detected and measured through their effects on other particles. For example, photons can be detected through their interactions with electrons. The energy and direction of the electron can then be used to calculate the momentum of the photon.

Are all massless particles the same in terms of momentum?

No, not all massless particles have the same momentum. The momentum of a massless particle depends on its energy and direction of motion. For example, a photon with a higher energy will have a higher momentum than a photon with a lower energy.

What are some practical applications of understanding massless particles and their momentum?

Understanding massless particles and their momentum is crucial in many fields of science, such as particle physics, astrophysics, and quantum mechanics. It also has practical applications in technology, such as solar cells that use the momentum of photons to generate electricity, and medical imaging techniques that use the momentum of x-rays to create images of the human body.

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