Work Out Number of Photons in Vacuum

In summary: It confirms what I was thinking. There would be an energy density for photons inside the box, but it would be quite small.
  • #1
Bruce Haawkins
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given a complete vacume.(Excluding the photons)
given a volume.
given a temprature.
given a wavelenth.
work out the number of photons in the vacume?
 
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  • #2
Bruce Haawkins said:
given a complete vacume.
given a volume.
given a temprature.
given a wavelenth.
work out the number of photons in the vacume?
Zero.

The vacuum is empty by definition. There must be an electromagnetic field in order for photons to exist and that is not a complete vacuum.
You have been mislead if you think otherwise.
 
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  • #3
Mentz114 said:
Zero.

The vacuum is empty by definition. There must be an electromagnetic field in order for photons to exist and that is not a complete vacuum.
You have been mislead if you think otherwise.

I meant with the photons in. I am looking for an equation to work this out can you mabe help me please. If the photons are not enuph then just a small amount of gass to get an electro- magnetic field.
 
  • #4
For coherent states if the average photon occupancy number ( for a mode ##k##) is ##\bar{N}## then the probability of detecting ##n## photons with mode ##k## is given by the Poisson distribution with mean ##\bar{N}##.
 
  • #5
Mentz114 said:
Zero.

The vacuum is empty by definition. There must be an electromagnetic field in order for photons to exist and that is not a complete vacuum.
You have been mislead if you think otherwise.

Well, I think that the question can be interpreted in terms of black-body radiation. Imagine a closed impenetrable box of some sort where the walls are kept at a constant temperature ##T##. The box is evacuated of air. The question is whether the space inside will fill with low-frequency photons. Or classically, will there be a nonzero energy density for electromagnetic energy inside the box?
 
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  • #6
Mentz114 said:
For coherent states if the average photon occupancy number ( for a mode ##k##) is ##\bar{N}## then the probability of detecting ##n## photons with mode ##k## is given by the Poisson distribution with mean ##\bar{N}##.

So if I have 1cubic cm volume of space with 2 gass particles with full valency levels at close to 0 degrees kelven and I have next to it some other substance at 273 kelven will there be a photon transfer to the space?
 
  • #7
stevendaryl said:
Well, I think that the question can be interpreted in terms of black-body radiation. Imagine a closed impenetrable box of some sort where the walls are kept at a constant temperature ##T##. The box is evacuated of air. The question is whether the space inside will fill with low-frequency photons. Or classically, will there be a nonzero energy density for electromagnetic energy inside the box?

Hi There stevendaryl If I have the temprature inside the box and I have the wavelenth of the low-frequency photons is there any chance that you can give me an equation to work out the energy in the box
 
  • #9

FAQ: Work Out Number of Photons in Vacuum

How do you calculate the number of photons in a vacuum?

The number of photons in a vacuum can be calculated using the formula N = V * ρ, where N is the number of photons, V is the volume of the vacuum, and ρ is the energy density of the vacuum.

What is the energy density of a vacuum?

The energy density of a vacuum is the amount of energy per unit volume that exists in a vacuum. It is typically measured in units of joules per cubic meter (J/m3).

Can the number of photons in a vacuum be measured?

No, the number of photons in a vacuum cannot be directly measured. However, it can be calculated using the formula N = V * ρ.

How does the number of photons in a vacuum affect the properties of light?

The number of photons in a vacuum is directly proportional to the intensity of light. This means that as the number of photons increases, the brightness or intensity of light also increases. Additionally, the color of light is determined by the number of photons within a certain range of wavelengths.

Are there always the same number of photons in a vacuum?

No, the number of photons in a vacuum can vary depending on factors such as the energy density of the vacuum or the size of the vacuum. However, the total energy of the vacuum remains constant, as stated by the law of conservation of energy.

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