Observing Single Electron Diffraction

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Homework Help Overview

The problem involves a single electron with a de Broglie wavelength passing through a slit and its subsequent observation on a fluorescent screen. The discussion centers around the expected outcomes based on quantum mechanics principles, particularly regarding diffraction patterns.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of observing a single electron versus multiple electrons, questioning whether a diffraction pattern can be observed with just one electron. They discuss the outcomes based on repeated trials and the nature of quantum behavior.

Discussion Status

There is an ongoing examination of the assumptions regarding the behavior of a single electron and its implications for the observed results. Some participants suggest reconsidering the outcomes based on repeated experiments, while others challenge the initial conclusions drawn about the expected observations.

Contextual Notes

Participants are navigating the complexities of quantum mechanics and the nature of wave-particle duality, particularly in the context of single-electron experiments. The discussion reflects on the contrast between individual and collective observations in quantum systems.

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Homework Statement



A single electron with de Broglie wavelength \lambda passes through a slit of width d = 2\lambda. The electron can then strike a flourescent screen. What will be observed on the screen?

a) A diffraction pattern
b) A single flash has if the electron had moved in a straight line through the slit.
c)A single flash that could occur anywhere on the screen.
d)A single flash that would most likely occur where a corresponding diffraction pattern would have the highest intensity.

Homework Equations


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The Attempt at a Solution



Since there is only a single electron, I don't think we will get a diffraction pattern. So my answer is b.
 
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Note that you have only (and correctly) ruled out choice (a).

You'll need to think some more about this. It might help to think what would happen if the experiment is repeated many many times.
 
Well what if the experiment is done only once.?

If its done many times, answer is probably "d".
 
If the answer is (b), as you had answered, imagine doing the experiment many times. If you always get "a single flash as if the electron moved in a straight line", then for many electrons you would just get a lot of flashes in a straight line directly ahead of the slit.

This contradicts what is actually observed for many electrons: a diffraction pattern. So the answer is not (b).
 
Ok then D right?

Thnx for replies.
 

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