Uncertainty and The Double Slit Experiment

In summary, Feynman's experiments with bouncing photons off of electrons passing through two slits show that using longer wavelengths results in a blurry area of light rather than a defined point of light. This is due to the uncertainty principle, where longer wavelengths make it difficult to determine the exact position and momentum of the electron. By using shorter wavelengths, we can determine the position but not the momentum of the electron. This highlights the limitations of measuring particles at the quantum level.
  • #1
Infrasound
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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?
 
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  • #2
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.
 
  • #3
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
 

FAQ: Uncertainty and The Double Slit Experiment

What is the Double Slit Experiment?

The Double Slit Experiment is a classic experiment in quantum mechanics that demonstrates the wave-like behavior of particles.

What is the significance of the Double Slit Experiment?

The Double Slit Experiment is significant because it challenges our understanding of the behavior of particles and suggests that they can exhibit both wave-like and particle-like properties.

What is the role of uncertainty in the Double Slit Experiment?

Uncertainty plays a crucial role in the Double Slit Experiment as it is impossible to predict the exact path of a particle through the slits, leading to a pattern of interference on the detector screen.

How does the Double Slit Experiment relate to the Heisenberg Uncertainty Principle?

The Double Slit Experiment is a physical manifestation of the Heisenberg Uncertainty Principle, which states that it is impossible to know both the position and momentum of a particle with complete certainty.

What are some real-world applications of the Double Slit Experiment and uncertainty?

The Double Slit Experiment and the concept of uncertainty have been used in various technologies, such as electron microscopy and quantum computing, and have also influenced fields such as philosophy and psychology.

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