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This is something that has confused me whenever I read about the double-slit experiment.

When the double-slit experiment is performed, I understand that the resulting pattern for the sequentially fired photons will be an interference pattern, unless the path of the photon is observed or measured, in which case the resulting pattern will be that of a particle i.e. like firing tiny marbles through.

Why doesn't the observation of the pattern count as an observation of the photons' paths?

Edit: Wow what a great response. Thanks all you who took the time to contribute an answer, it is certainly appreciated.

What I have taken away from this is that the pattern produced on the screen is an observation / interaction that causes the photon to 'localise' as is the observation of the photon as it passes through the slits.

The differentiation is one of chronology - the observation or inference of exactly which slit the photon passed through causes the photon to localise before passing through and so it behaves like a particle. Observing the photon after passing through the slits in a way that does not reveal which particular slit it passed through, localises the electron according to the wavefunction complete with interference caused by the slits.

The key difference then is at what point the photon is observed / interacted with and therefore localised - either close enough to the slits to reveal which slit it passed through, or far enough such that it remains uncertain. The former will produce the two bar pattern, the latter the interference pattern.

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The photon in transit between the light source and the screen is described by a wavefunction. Specifically, the wavefunction describes a photon that is delocalised i.e. it does not have a well defined position. Because the wavefunction is delocalised it encompasses both slits, which is why we say the photon goes through both slits.

Whenever you interact with this wavefunction you change it, and typically you will change it in such a way as to localise it. This is because the interaction happens at a point, and the result is to localise the photon at that point.

Now, when the photon interacts with the screen this does happen at a point, and indeed the interaction creates a spot on the photographic film/CCD/whatever at the point where the interaction happened. We can't say in advance where the interaction will occur, only that the probability of it happening is given by the wavefunction. So any one photon interacts at a point, but when we take many photons the points where they interact with the screen are distributed according to the wavefunction and together they build up the interference pattern.

However, if you interact with the photon before it has reached the slits then your interaction localises the wavefunction so the photon can no longer go through both slits. Because the wavefuntion immediately prior to the slits has changed, the effect the slits has on the wavefuntion changes as well and therefore so does the final pattern at the screen on the other side of the slits.

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Why doesn't the observation of the pattern count as an observation of the photons' paths?

As John says, one photon gives one hit. If one thinks of a classical ball thrown at two slits the slit size of the order of magnitude of the ball size, the balls thrown aiming perpendicular to the slits location, one would get hits on a screen of two types:

1) a ball goes through one of the two slits straight on

2) the ball grazes the side of the slit it is passing symmetrically, scattering at an angle, and finally the balls make two blos as an image of the slits.

The effect would be two individual spread blobs with no interference pattern but an overlap region between them. Picking an individual hit of a ball on the screen on the edges can trace the track of the ball to the nearest slit but the individual hits in the middle could come from either slit; of course all this depending on the exact geometry.

Look at this individual electrons ( individual hits from photons are a more difficult experiment) hitting the screen:

doubleslit

Note the randomness of the pattern. Extrapolating the dots on the screen back to the two slits, either slit could be the source, there can be no unique track identification unless a detector(i.e an interaction as John explains) intervenes close to the slits after the particle passes through, and this would change the wavefunction.

Have a look at this experiment that clarifies how interactions change the probabilities for the path of the particle going through.

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Moving the observation screen as close as possible to the slits, one will observe electrons as particles and never as wave distributions. The explanation that electrons interfere with itself is a interpretation, based on the intensity distribution on the observation screen. This interpretation is saved by the fact, that any measurement of the position of the electrons disturb their intensity pattern on the screen. So never the waves were observed direct.

My explanation is an other. The surface electrons from an edge, as well as from a slit or from a double slit, form together with the incoming electron as well as with a photon a common field. This field is quantized and what we see on the screen is the quantized field. This interpretation seems me more natural. It explains the intensity distribution of single particles behind a single edge as well as behind double slits.

See this question too.

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Why doesn't the observation of the pattern count as an observation of the photons' paths?

That's because knowing the position of a dot on the screen does not allow you to tell which slit the photon passed through.

If you, say, used colour film and put filters over the slits, so that you'd have a red dot when the photon went through one slit and a green dot if it went through the other, that would count as an observation, and the interference pattern would disappear.

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  • $\begingroup$ But it is possible to use only one slit and one will get intensity distribution behind as well as if one use only an single edge. There are explanations too why this happens, but the explanation that single particles are going through both slits seems to be week under the circumstances of intensity distribution behind a single edge or a single slit. $\endgroup$ – HolgerFiedler Jul 23 '15 at 4:33
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    $\begingroup$ @HolgerFiedler: this question is about the effect that observations have on quantum interference. The simplified double-slit experiment is a good conceptual example of that, but I think it's important not to get side-tracked into other issues, as it is liable to cause confusion. (That said, it isn't actually difficult to model diffraction in terms of interference between multiple possible paths the photon could take; this is the path integral formulation due to Feynman and was a critical step in the early development of QFT. Short version: photons don't travel in straight lines.) $\endgroup$ – Harry Johnston Jul 23 '15 at 4:50
  • $\begingroup$ This answer is intuitive and very useful. Thanks alot. It seems there are two distinct observations being made - the final position of the photon on the screen and the slit that it passed through. Knowing the final positions doesn't reveal which slits were passed through, it merely reveals whether the photons behaved as wavefunctions or as particles. In a crude attempt to find the words: the universe doesn't care about us knowing how the photon got where it was going, it just cares whether we know its position at any given time. $\endgroup$ – user3560041 Jul 23 '15 at 11:12
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Use the pilot-wave metaphor

The pilot-wave picture is the best way to somebody (non-physicist) understand the double-slit experiment, as a typical photon scattering experiment. You can see the pattern construction (at @annav's answer) imagining that each photon can go its path-way as particle, after a little (harmonic-randomic) oscillation in the slit.

enter image description here

See this good 2-minut-movie for a complete illustration, or more theoretic details or references at Wikipedia's Pilot-wave article.

This idea seems to me so natural and simple, to resolve the wave-particle dilemma in such a clear and ordinary way, that it is a great mystery to me that it was so generally ignored

(Bell, J. S. 1987)

We not need to say "the photon goes through both slits": is a personal choice, what methaphor you like, what metaphor makes more sense for you. Bell preffer the wave-pilot picture, @JohnRennie preffer the mainstream's view.


So,

Why doesn't the observation of the pattern count as an observation of the photons' paths?

The question is inconplete, is not an univeral "Why", is contextual:

  1. "Why, in the mainstream's view, doesn't the observation ...": the mainstream's answer is difficult to accept for non-physicist.

  2. "Why, in wave-pilot view, doesn't the observation ...": perhaps isn't a question, because, intuitively, the observation of the pattern count as an observation of the photons' paths... In this view is so natural and simple, as Bell said.

There are two views, where the intuition changes. Only intuitions, because there are no mensurable evidence for one or another view. We are free to do our choices: one choice makes the unspeakable more speakable.

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