The pattern of one photon at a time passing through large-distance setups?

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Discussion Overview

The discussion revolves around the behavior of photons passing through slits in various experimental setups, specifically focusing on single-photon emission and the resulting interference patterns. Participants explore the implications of single-photon interactions in both single-slit and double-slit configurations, considering the nature of wave functions and diffraction effects.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants propose that the interference pattern observed with multiple photons should be the same as that seen at high intensity, even when photons are emitted one at a time.
  • Others argue that the phase of the wave function remains consistent regardless of intensity, suggesting that this phase is crucial for predicting the resulting pattern on the detector.
  • A participant questions whether a single photon interacts with the entire width of the slit, leading to a discussion about the nature of interactions occurring at the edges of the slit.
  • It is noted that in a simplified model, interactions are considered to occur only at the edges of the slit, with no interaction happening in the empty space of the slit itself.
  • Some participants discuss the complexity of analyzing double-slit experiments, mentioning that while the usual analysis does not account for the finite width of the slits, a more complicated analysis could involve combining single-slit patterns.
  • There is a suggestion that if the spacing between the slits is comparable to their width, both interference and diffraction aspects must be considered in the intensity pattern.
  • One participant expresses uncertainty about the implications of a single photon having a "window of interaction" that seems large compared to its size.

Areas of Agreement / Disagreement

Participants do not reach a consensus on several points, particularly regarding the nature of photon interactions with slits and the implications of single-photon behavior in interference patterns. Multiple competing views remain on how to interpret the interactions and resulting patterns.

Contextual Notes

Limitations include the simplifications made in modeling photon interactions and the assumptions about the nature of wave functions in different experimental setups. The discussion highlights the complexity of accurately describing photon behavior in various configurations.

  • #31
PeterDonis said:
For a single slit, 3 cm might already be too large to get significant diffraction effects with visible light, since it is about a hundred thousand times larger than the wavelength.
A very wide single slit is simply two instances of edge diffraction, facing each other. If you move the edges closer together, the two edge-diffraction patterns merge in a complicated way. The result has to be calculated using the methods of Fresnel diffraction. When the slit becomes narrow enough, you get the familiar simple single-slit pattern of Fraunhofer diffraction.
 
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  • #32
PeterDonis said:
Then you won't see an interference pattern on the detector.No. You still won't see an interference pattern on the detector.See above.
and also, regarding the "bundle of pencils", I'd just like to ask, what are your thoughts on the simplified notion (if I am hopefully allowed to mention this notion, for the purposes of trying to cover the scenario more comprehensively) that making it a "full gushing waterfall" will enable the wave(function)s of the multiple "pencils" to blend together, and thereby resulting in an overall larger "effective width"

So I understand that you've said on this "See above.", relating to the prior answers, though from my perspective, what I'm adding might be a new different line of reasoning, or approaching the scenario from a different viewpoint
 
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  • #33
tade said:
what are your thoughts on the simplified notion (if I am hopefully allowed to mention this notion, for the purposes of trying to cover the scenario more comprehensively) that making it a "full gushing waterfall" will enable the wave(function)s of the multiple "pencils" to blend together, and thereby resulting in an overall larger "effective width"
I've already told you: that's not how it works.

tade said:
from my perspective, what I'm adding might be a new different line of reasoning, or approaching the scenario from a different viewpoint
Your perspective is flawed.

You should be spending your time and effort learning the math of QM and how it is used to make predictions. You should not be spending your time trying to dream up ever more elaborate scenarios that are just going to be flawed because you don't understand how QM works. That is not a good use of your time, and it's not a good use of the time of the posters here who are responding to you.
 
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