Interference of two independent electron beams?

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Discussion Overview

The discussion centers on the possibility of achieving interference patterns using two independent electron beams, drawing parallels to the double slit experiment. Participants explore the conditions necessary for interference and the implications of coherence and correlation between the beams.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question whether crossing two electron beams could produce an interference pattern, similar to the double slit experiment.
  • It is proposed that visible interference requires a fixed phase relationship between the electrons in both beams, suggesting that random, uncorrelated electrons would not yield interference.
  • One participant emphasizes that "independent" implies "uncorrelated," asserting that it would not be possible to have two correlated yet independent electron beams directly from electron guns.
  • Another participant points out that electron diffraction can occur with a single beam passing through crystalline materials, indicating that two beams may not be necessary for observing diffraction patterns.
  • Concerns are raised about the lack of coherence in independent beams, which could hinder the development of advanced imaging systems in electron diffraction.

Areas of Agreement / Disagreement

Participants express disagreement regarding the feasibility of achieving interference with independent electron beams, with some asserting it is impossible due to the requirement for correlation and coherence, while others explore the potential of single beam diffraction.

Contextual Notes

The discussion highlights limitations related to the definitions of independence and correlation in the context of electron beams, as well as the unresolved nature of achieving coherent electron beams for interference.

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This is about "double slit" setup only without slits and instead there are two electron beams. I found some experiments doing something like this, but the setup was always rather complex, with some mirrors and such. So the question is why can't we get interference pattern by simply crossing two electron beams, or can we?
 
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To get (visible) interference, you need a fixed phase between the electrons in both beams. Just random, uncorrelated electrons won't give interference.
 
mfb said:
To get (visible) interference, you need a fixed phase between the electrons in both beams. Just random, uncorrelated electrons won't give interference.

Ok, but I couldn't find any such experiment that would simply cross two electron beams. Would that mean it is not possible to have two correlated yet independent electrons beams coming directly out of electron guns, or should I just google for it harder?
 
"Independent" implies "uncorrelated". No, it cannot be possible.
 
No coherence.

Sadly, that makes it impossible to build a truly holographic imaging system for electron diffraction.
If it were possible, we could directly image the atomic structures (such as DNA) instead of having to infer them from the diffraction patterns with some guesses thrown in.

It's been a bit of a Holy Grail in Low Energy Electron Diffraction (LEED) for some time.
 

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