Back Correcting the Uncertaininty Principle?

  • Context: Graduate 
  • Thread starter Thread starter bstacey
  • Start date Start date
  • Tags Tags
    Principle
Click For Summary

Discussion Overview

The discussion centers around the implications of using photons to measure a particle's position and momentum in the context of the uncertainty principle in quantum mechanics. Participants explore the relationship between photon wavelength and measurement accuracy, as well as the effects of measurement on the particle's momentum.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether it is possible to "back correct" the measurement of a particle's position by considering the wavelength of the photon used in the measurement.
  • One participant argues that using a longer wavelength results in a less focused image, leading to a less precise measurement of position.
  • Another participant suggests that using a shorter wavelength could improve position measurement but raises concerns about the impact on momentum.
  • It is noted that the wavelength can only provide a limited understanding of the particle's position, specifically that it indicates the particle is within one wavelength of the measured position.
  • Participants discuss the inherent trade-off between position and momentum, emphasizing that measuring position with a photon alters the particle's momentum due to the energy of the photon involved.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of back correcting measurements based on photon wavelength, with no consensus reached on the implications of such corrections or the extent to which they could improve measurement accuracy.

Contextual Notes

Limitations include the dependence on the definitions of measurement accuracy and the uncertainty principle, as well as unresolved questions about the mathematical implications of photon interactions with particles.

bstacey
Messages
2
Reaction score
0
I'm sort of new to quantum mechanics and was wondering that when we use a photon (light) to measure a particle for its velocity (momentum) with varying wavelenghts depending on the accuracy we want, why can't we back correct to take into consideration the wavelength of the photon when finding out the probability of the position? Hence making it's position more accurate or even exact?
 
Physics news on Phys.org
bstacey said:
I'm sort of new to quantum mechanics and was wondering that when we use a photon (light) to measure a particle for its velocity (momentum) with varying wavelenghts depending on the accuracy we want, why can't we back correct to take into consideration the wavelength of the photon when finding out the probability of the position? Hence making it's position more accurate or even exact?
Because you can't. Using a longer wavelength means having a not very focused image of a point: you see a disk instead of a point and the disk diameter increases with wavelength.
 
Well what if a shorter wavelegh was used to measure the position? Would this effect the momentum? And can't this be taken into account when predicting it and then back corecting?
 
What do you mean by "taking into consideration the wavelength". All you can do with wave length is say "the particle is within one wavelength of the measured position". The smaller the wavelength, the more accurate the measure of position, but knowing the wavelength doesn't allow us to say more than that.

And every time you "hit" a particle with a photon to measure its position, you change its momentum and so its speed. The lower the wavelength, in order to get a more accurate position, the greater the energy of the photon so the greater change in momentum.
 

Similar threads

  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K