Photon Dimensions: Exploring the Wavefunction & Length

In summary, the conversation revolves around the question of the size of a photon, which is a fundamental property that is not defined or known in current physics. The concept of the wavefunction and its role in determining the probability of a photon being at a specific location is also discussed, as well as the difficulty in defining the size of something that is not a function in physical space. The idea of "wavefunction realism" is also mentioned, which suggests that the wavefunction is not a physical entity in a 3D space. The conversation ends with a mention of the Fourier transform and the difficulty in defining the size of a photon without more knowledge about its nature.
  • #1
Monnik
9
0
Sorry for opening up the discussion again, but I joined late.

anantchowdhary's question is an extremely valid one, even though most commentators claimed to not understand the question.

A photon has a wavefunction. The standard interpretation is the wavefunction gives the probability that the photon is at a specific location at a specific time.

As it travels at c, there is always an area where it can not be (probability is 0). What is the size of the area where it can be? It is also an electromagnetic wave (maybe wavelet or wavicle is a better word). How many cycles of the wave makes the photon? What is its length (in time or in space), and through which hole will it fit? The energy in a single cycle of an EM wave is always the same (Plank's constant) - no matter the frequency. When absorbed or emitted, the energy is transferred to/form motion. Is the energy transferred in the head of the wavefunction, the tail or anywhere in between depending on the probability?
 
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  • #2
Monnik said:
Sorry for opening up the discussion again, but I joined late.

anantchowdhary's question is an extremely valid one, even though most commentators claimed to not understand the question.

A photon has a wavefunction. The standard interpretation is the wavefunction gives the probability that the photon is at a specific location at a specific time.

As it travels at c, there is always an area where it can not be (probability is 0). What is the size of the area where it can be? It is also an electromagnetic wave (maybe wavelet or wavicle is a better word). How many cycles of the wave makes the photon? What is its length (in time or in space), and through which hole will it fit? The energy in a single cycle of an EM wave is always the same (Plank's constant) - no matter the frequency. When absorbed or emitted, the energy is transferred to/form motion. Is the energy transferred in the head of the wavefunction, the tail or anywhere in between depending on the probability?

But what you wrote has nothing to do with the "size" of anything, much less, a photon.

Again, the very basic and fundamental question here has never been answered: where exactly is there a definition of the size of a photon in our current physics?

I'm not talking about speculating or conjecture here. I'm talking about standard, accepted values such as those you find in CODATA or CRC Handbook. Where exactly in all the properties of a photon is there a definition of its size?

Zz.

P.S. There's a reason why we close certain threads. It's because it keeps going around and around in circles. Unless there is a definite answer to at least the question that I asked, this thread may end up the same way.
 
  • #3
There's another issue with calling the extent of the wavepacket "the size of the photon".

This is the fact that the wavefunction is not a function in physical space. It's a function in configuration space. This doesn't show up until one considers multi-photon systems.

The relevant issue here is sometimes called "wavefunction realism". Google scholar finds

Life in Configuration Space - group of 5 »
PJ Lewis - The British Journal for the Philosophy of Science, 2004 - philsci-archive.pitt.eduhttp://scholar.google.com/scholar?hl=en&lr=&q=cache:8f6jxxs3zHoJ:philsci-archive.pitt.edu/archive/00001272/01/Configuration_Space_2.doc+life+in+configuration+space which appears to be sensible and talk about these issues in spite of being published in microsoft word. (It also appears to be peer reviewed, an important point for PF discussion).

see also http://bjps.oxfordjournals.org/content/vol55/issue4/index.dtl

The author argues that there is a sense in which wavefunction realism can be made to work, but that it's not as simple as thinking of a "photon" as being a wave in a 3d space.

If you really want to talk about his in more depth, you should probably try the quantum mechanics forum - this gets rather deep quickly, and it doesn't have much to do with relativity. I know enough to know that there are problems with thinking of the wavefunction as "real" in 3d space, but you'd be better off talking with someone else about the fine details.

You could also try the philosophy forum, though in this case I'd guess that you'd have the best luck in the QM forum.
 
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  • #4
Imo:

I have seen the size of a photon listed as lambda/2pi. I don't know where that author got the value but I noted it because I had never seen it before. It seems to me that the size depends on frequency and I look to the Fourier transform as the analog. Where is the photon? If the waveform is continuous in time then one point location can be assigned but as one narrows the wavelet in time, the space dimension grows. Now, I don't know that enough is known about the nature of a photon to answer this question. (It seems a bit harsh to close the question because the answer is unknown, however, IMO.)
 
  • #5
rdx said:
I have seen the size of a photon listed as lambda/2pi. I don't know where that author got the value but I noted it because I had never seen it before. It seems to me that the size depends on frequency and I look to the Fourier transform as the analog. Where is the photon? If the waveform is continuous in time then one point location can be assigned but as one narrows the wavelet in time, the space dimension grows. Now, I don't know that enough is known about the nature of a photon to answer this question. (It seems a bit harsh to close the question because the answer is unknown, however, IMO.)

I would like to see that, considering that ALL of the standard reference sources that I have mentioned made zero assessment on the size of a photon.

The issue here isn't that it is unknown. The issue here is that such a property was never defined for a photon! It is like asking how salty is blue? You are asking for a property that was never attached to the entity being asked.

Now remember that there was never any question on the "size of light" during the classical EM wave scenario. There is a size of the light pulse, but this is arbitrary depending on when you truncate that light source. So such a property is meaningless. Yet, people seem to think it is OK to ask for the size of a photon. Why? Because they have the impression that a photon is an ordinary particle in real space simply because we have attached the word "particle" to a photon. Yet, a photon is a "quanta of energy". It was never defined as a classical particle that has a definite boundary in real space. That is why I asked if blue is salty. We are asking for the characteristic of something that was never defined to have it in the first place!

Zz.
 
  • #6
Does a photon travel in a wave?Arent the particle and wave theory different?Excuse me if i don't understand
 

Related to Photon Dimensions: Exploring the Wavefunction & Length

1. What is a photon?

A photon is a basic unit of light or electromagnetic radiation. It is considered a quantum particle, meaning it exhibits both wave-like and particle-like properties.

2. How do photons have dimensions?

While photons are considered to have zero rest mass, they do have length and width, which are defined by their wavelength and frequency. These dimensions are important in understanding the behavior of photons and how they interact with matter.

3. What is the wavefunction of a photon?

The wavefunction of a photon is a mathematical description of the probability of finding a photon at a certain location or state. It is based on quantum mechanics and is used to predict the behavior of photons in various situations.

4. How are the dimensions of a photon related to its energy?

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This means that higher frequency photons have shorter wavelengths and vice versa. The dimensions of a photon play a crucial role in determining its energy and behavior.

5. Why is understanding photon dimensions important?

Understanding the dimensions and properties of photons is crucial in many fields, including physics, chemistry, and engineering. It allows us to better understand the nature of light and how it interacts with matter, leading to advancements in technology and scientific research.

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