Uncertainty and The Double Slit Experiment

Click For Summary
SUMMARY

The discussion centers on the implications of wavelength in the context of the Double Slit Experiment as described by Richard Feynman in "6 Easy Pieces." It establishes that shorter wavelengths yield precise electron position measurements, resulting in sharp points of light, while longer wavelengths produce a blurry area, indicating uncertainty in position and momentum. This phenomenon is directly related to the Heisenberg Uncertainty Principle (HUP), which states that the more accurately the position of a particle is known, the less accurately its momentum can be known, and vice versa.

PREREQUISITES
  • Understanding of Quantum Mechanics (QM) principles
  • Familiarity with the Heisenberg Uncertainty Principle (HUP)
  • Knowledge of photon-electron interactions
  • Basic concepts of wave-particle duality
NEXT STEPS
  • Research the Heisenberg Uncertainty Principle (HUP) in detail
  • Explore the implications of wave-particle duality in quantum mechanics
  • Study the effects of wavelength on photon interactions with electrons
  • Investigate experimental setups for the Double Slit Experiment
USEFUL FOR

Students of quantum mechanics, physicists exploring wave-particle duality, and educators seeking to explain the principles of the Double Slit Experiment and the Heisenberg Uncertainty Principle.

Infrasound
Messages
70
Reaction score
0
While reading Feynman's 6 Easy Pieces, I see he talks about bouncing photons off of the electrons that are passing through two slits. According to Feynman, when a photon strikes an electron near one of the slits, it bounces (sometimes back at the observer) and registered as a sharp point of light for the observer. In the process, the electrons momentum is disturbed to a degree that is inversely proportional to the wavelength of the light used.

In the next experiment, light of a much longer wavelength is used (in order to strike the electrons with a minimal change in electron momentum). Feynman describes how the photon will bounce to the observer, but will cause a blurry area of light for the observer, rather than a well defined point of light.

My questions:

Why do longer wavelengths have this effect of blurring/uncertainty?

And what are we finding out when we use longer wavelengths? The momentum of the electron? How do we find the momentum of an electron simply from bouncing blurry light off of it?
 
Last edited:
Physics news on Phys.org
Infrasound said:
While reading Feynman's 6 Easy Pieces, I see he talks about bouncing photons off of the electrons that are passing through two slits. According to Feynman, when a photon strikes an electron near one of the slits, it bounces (sometimes back at the observer) and registered as a sharp point of light for the observer. In the process, the electrons momentum is disturbed to a degree that is inversely proportional to the wavelength of the light used.

In the next experiment, light of a much longer wavelength is used (in order to strike the electrons with a minimal change in electron momentum). Feynman describes how the photon will bounce to the observer, but will cause a blurry area of light for the observer, rather than a well defined point of light.

My questions:

Why do longer wavelengths have this effect of blurring/uncertainty?

And what are we finding out when we use longer wavelengths? The momentum of the electron? How do we find the momentum of an electron simply from bouncing blurry light off of it?

I'm a bit new to QM too, but I'll try to explain. When we use longer wavelenghts we get a blurry area, meaning the electron could have been anywhere in that area. And when we're using shorter wavelenghts we get a point, a certain position, but an unknown momentum because we can't know the amount of momentum transferred to the electron when they bounced off.
 
shinokk said:
I'm a bit new to QM too, but I'll try to explain. When we use longer wavelenghts we get a blurry area, meaning the electron could have been anywhere in that area. And when we're using shorter wavelenghts we get a point, a certain position, but an unknown momentum because we can't know the amount of momentum transferred to the electron when they bounced off.

The bold bit,isn't that in reference to the (HUP) ?

-ibysaiyan
 

Similar threads

  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
5K