Position and momentum of particle in double slit experiment?

In summary, the position of the electron/photon in the double slit experiment is determined by where it is first measured, either at one of the slits or on the detector screen. The momentum of the electron/photon is not measured in this experiment.
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In the double slit experiment, what is the position and momentum of an electron/photon?
Is the position of the electron/photon which slit it went through? And is the momentum of the electron/photon the wave like interference pattern detected on the detector screen?
 
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Nav said:
In the double slit experiment, what is the position and momentum of an electron/photon?
Is the position of the electron/photon which slit it went through? And is the momentum of the electron/photon the wave like interference pattern detected on the detector screen?

The position is wherever it is first measured. If you have detectors in the slits, then they determine the position at one slit or the other; if not, the position is where the spot appears on the screen behind the barrier.

The momentum is not measured at all in this experiment.
 

1. What is the relationship between position and momentum in the double slit experiment?

In the double slit experiment, the position and momentum of a particle are complementary properties. This means that the more precisely you know the position of the particle, the less precisely you know its momentum, and vice versa. This is known as the Heisenberg Uncertainty Principle.

2. How does the double slit experiment demonstrate the wave-particle duality of matter?

The double slit experiment shows that particles, such as electrons, exhibit both wave-like and particle-like behavior. This is known as the wave-particle duality of matter. The interference pattern observed when particles pass through two slits suggests that they behave like waves, while the detection of individual particles hitting a screen shows their particle-like nature.

3. Can the position and momentum of a particle in the double slit experiment be measured simultaneously?

No, due to the Heisenberg Uncertainty Principle, the position and momentum of a particle cannot be measured simultaneously in the double slit experiment. This is because the act of measurement itself affects the state of the particle, making it impossible to know both properties with certainty at the same time.

4. How does the width of the slits affect the interference pattern in the double slit experiment?

The width of the slits affects the diffraction of the particles passing through them, which in turn affects the interference pattern observed on the screen. Wider slits result in a wider interference pattern, while narrower slits result in a narrower interference pattern.

5. Can the double slit experiment be used to determine the exact trajectory of a particle?

No, the double slit experiment does not provide information about the exact trajectory of a particle. This is because the particle's path is influenced by its wave-like behavior, making it impossible to predict with certainty where it will land on the screen. Instead, we can only determine the probability of the particle landing at a certain point on the screen.

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