I If you shoot an electron at a wall....

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When firing a single electron at a wall, the electron's momentum in the x-direction can be well-defined, but the transverse momenta (y and z) lead to uncertainty in its position upon impact. If the transverse momenta are well-defined, the electron could theoretically hit anywhere on the wall, as its position in the y and z directions becomes undefined. However, in practical scenarios, electron guns produce a narrow spread in both position and velocity, allowing for more accurate targeting on the wall. The discussion emphasizes that while idealized conditions suggest infinite uncertainty in position with precise momentum, real-world constraints make it impossible to achieve such precision. Ultimately, the behavior of the electron is governed by quantum mechanics, which dictates that precise momentum correlates with uncertainty in position.
  • #31
This contradicts the best theory we have about particles, which is QT, according to which there are no determined trajectories in the sense of classical physics.
 
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  • #32
vanhees71 said:
This contradicts the best theory we have about particles, which is QT, according to which there are no determined trajectories in the sense of classical physics.

Does this imply that a trajectory could reverse direction and take a different path before reaching its final destination? If so, is this one way to explain interference patterns?
 
  • #33
mike1000 said:
It cannot be a fact

Well, then all QM books and physicists lie to the world.
 
  • #34
mike1000 said:
Does this imply that a trajectory could reverse direction and take a different path before reaching its final destination? If so, is this one way to explain interference patterns?
There are no trajectories, and QT explains interference patterns (of probability distributions) as observed.
 
  • #35
weirdoguy said:
Well, then all QM books and physicists lie to the world.

Well, unfortuantely, that can be true. The wave-particle duality comes to mind.
 
  • #36
mike1000 said:
The wave-particle duality comes to mind.

In that sense, that is true:biggrin: That is why one should learn science from textbooks, not pop-sci books.
 
  • #37
weirdoguy said:
In that sense, that is true:biggrin: That is why one should learn science from textbooks, not pop-sci books.

Textbooks have their own unique set of problems.(no pun intended).
 
  • #38
Maybe, but none of them textbooks will tell you that particle takes any trajectory. That is not intuitive, but you really have to gice up most of your classical thinking.

Btw, am I the only one who didn't have any problem in giving up my classical intuitions? I was always like "oh, ok", and most of my collegues got into looong discussions during QM lectures...
 
  • #39
mike1000 said:
As far as I know, interference has never been observed for a single particle. It always takes a system of at least two or more particles to observe interference patterns.

This is obviously false, since as DrClaude pointed out, the double slit experiment can be run with only one particle at a time, and you still get an interference pattern.

mike1000 said:
I think what you are implying is that QM really cannot say anything about a single particle.

This is obviously false as well. QM does not say a single particle has a definite path, but that's a long way from not saying anything at all about a single particle.

mike1000 said:
This suggests to me that the single particle does indeed follow some path.

Garbage in, garbage out.

mike1000 said:
If you say that is false, please provide a link.

Any QM textbook will do.

mike1000 said:
Textbooks have their own unique set of problems

You can always go directly to the original peer-reviewed papers if you have questions about what a textbook is telling you. What you can't do is just decide not to believe the textbooks because "they have problems".
 
  • #40
The OP's question has been more than sufficiently addressed. Thread closed.
 
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