Can Length Contraction Cause Diffraction in Quantum Mechanics?

Click For Summary

Discussion Overview

The discussion revolves around the potential effects of length contraction on diffraction patterns in a double slit experiment involving electrons. Participants explore the implications of relativistic speeds on the observation of diffraction, particularly in the context of quantum mechanics and quantum field theory.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant proposes a scenario where moving past the slits at significant speed could length contract the slits, potentially allowing for diffraction to occur even if the slits are too large in the rest frame.
  • Another participant asserts that some diffraction pattern will always be present, regardless of the slit size.
  • A different participant questions whether the same diffraction effects would occur if the electron beam were moving while the slits remained fixed, suggesting that both scenarios might lead to increased diffraction.
  • One participant notes that moving the electron beam and keeping the slits fixed could be equivalent to standing still and observing the moving slits, indicating a potential symmetry in the scenarios.
  • There is a mention of the need to use quantum field theory (QFT) for a proper analysis, indicating the complexity of the situation.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between length contraction and diffraction, with no consensus reached on whether the effects would differ based on the motion of the slits or the electron beam.

Contextual Notes

Participants acknowledge the complexity of the problem, particularly in relation to quantum field theory, and the need for further analysis to fully understand the implications of their scenarios.

Who May Find This Useful

This discussion may be of interest to those exploring the intersections of quantum mechanics, relativity, and experimental physics, particularly in the context of diffraction phenomena.

cragar
Messages
2,546
Reaction score
3
What if I had a double slit setup and I was shooting electrons through them. But in the rest frame the slits were to big to bring out the diffraction effect. But then suppose I move by the 2 slits at significant speed to length contract the slits to where diffraction would be eminent.
Would i see diffraction or does the wave function change with speed to correct this. I don't know much about QM or QFT. Any help will be appreciated.
 
Physics news on Phys.org
You will always have some diffraction pattern, irrespective of the size of the slits.
 
Last edited:
I am not positive about the answer, and I like the question, but why not suppose the electron beam were moving similarly instead...and the slits fixed...would there be any difference between the two scenarios?? Seems like either would cause increased diffraction.

[Why is Chris Crhistie's picture on my website screen as I type this?? I like him, but I thought this was a "non politics zone".]
 
@ naty1 : your saying have the electron beam move and have the slits fixed. And that would also be the same as standing by the electron beam and see the slits moving by.
you i think those are the same. I was talking to someone at my school and he said that i would need to use QFT to analyze it and it would be tricky.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 23 ·
Replies
23
Views
9K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 63 ·
3
Replies
63
Views
6K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 21 ·
Replies
21
Views
5K