Superposition Angle Range in 2-Slit Experiment

  • Context: Undergrad 
  • Thread starter Thread starter Jsauce
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the concept of superposition in the context of the double-slit experiment, specifically focusing on the minimum and maximum angles that a superposition could have from the emitter. Participants explore the implications of slit separation and beam direction uncertainty on the outcomes of the experiment.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that matrix-based equations imply a finite number of possible superpositions in the double-slit experiment.
  • Others argue that the slits must be within the uncertainty in the direction of the beam to achieve meaningful interference patterns.
  • A participant questions what defines the boundaries of this uncertainty.
  • It is noted that there is no definite boundary for uncertainty, but the probability distribution drops off quickly for tightly focused beams.
  • One participant raises the possibility of a photon impacting a detector 180 degrees behind the emitter, prompting further discussion on the relevance of this scenario.
  • Another participant clarifies that if the emitter is a simple source, photons can be detected in all directions, but a focused beam would result in a very low probability of detection outside a narrow strip on the first screen.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of certain scenarios and the nature of uncertainty in the double-slit experiment, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

The discussion highlights limitations in defining the boundaries of uncertainty and the dependence on the characteristics of the emitter, which remain unresolved.

Jsauce
Messages
6
Reaction score
1
TL;DR
Question on superpositions
With superpositions, the matrix based equations imply that there is a finite number of possible superpositions. Descriptions of how to reproduce the 2-slit experiment prescribe a maximum distance the slits can be apart and still reproduce the experiment.

is there a way to determine the minimum and maximum angles a superposition could have from the emitter?
 
Physics news on Phys.org
Jsauce said:
Summary:: Question on superpositions

With superpositions, the matrix based equations imply that there is a finite number of possible superpositions. Descriptions of how to reproduce the 2-slit experiment prescribe a maximum distance the slits can be apart and still reproduce the experiment.

is there a way to determine the minimum and maximum angles a superposition could have from the emitter?
This question does not make much sense to me. For a double slit experiment, you need the slits to be within the uncertainty in the direction of the beam. But, also, if the slits are far apart and you have a very large uncertainty in the direction of the beam, then you will effectively get two separate single slit patterns, some distance apart.
 
  • Informative
Likes   Reactions: berkeman
PeroK said:
This question does not make much sense to me. For a double slit experiment, you need the slits to be within the uncertainty in the direction of the beam. But, also, if the slits are far apart and you have a very large uncertainty in the direction of the beam, then you will effectively get two separate single slit patterns, some distance apart.
What defines the boundaries of the uncertainty?
 
Jsauce said:
What defines the boundaries of the uncertainty?
There is no definite boundary, but the probability distribution will drop off very quickly for a tightly focused beam.
 
PeroK said:
There is no definite boundary, but the probability distribution will drop off very quickly for a tightly focused beam.

So there is a non-zero chance that a single photon could impact a detector 180 degrees behind the emitter?
 
Jsauce said:
So there is a non-zero chance that a single photon could impact a detector 180 degrees behind the emitter?
That's not really relevant. If the emitter is a simple source, then photons will be detected in all directions. If the emitter produces a focused beam, then the probability of being detected outside a narrow strip on the first screen would be vanishingly small.
 
PeroK said:
That's not really relevant. If the emitter is a simple source, then photons will be detected in all directions. If the emitter produces a focused beam, then the probability of being detected outside a narrow strip on the first screen would be vanishingly small.

Helpful as ever
 
  • Like
Likes   Reactions: berkeman

Similar threads

  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 33 ·
2
Replies
33
Views
2K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K