Making a program to model the Double Slit Experiment?

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SUMMARY

The discussion centers on simulating the Double Slit Experiment (DSE) using programming. Participants confirm that the probability of finding an electron after being fired from an electron gun can be modeled using a squared amplitude function, with a planar wave serving as a suitable approximation. Additionally, it is established that the speed of the electron remains constant until it interacts with the slit, whereupon it transitions to a probability distribution upon measurement.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically wave-particle duality.
  • Familiarity with probability density functions in quantum physics.
  • Knowledge of programming concepts for simulation modeling.
  • Experience with mathematical functions, particularly amplitude functions.
NEXT STEPS
  • Research quantum mechanics simulations using Python libraries like NumPy and Matplotlib.
  • Explore the mathematical foundations of probability density functions in quantum mechanics.
  • Learn about wave functions and their applications in quantum physics.
  • Investigate the implications of measurement on quantum states, focusing on the transition from definite speed to probability distributions.
USEFUL FOR

Students and professionals in physics, programmers interested in quantum simulations, and educators looking to enhance their understanding of the Double Slit Experiment.

Nitrogen
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Hey guys the Idea of simulating the DSE with a program caught my interest but I just had a few questions regarding the DSE

Is there a function that models the probability of finding an electron at a certain point ONCE It's BEEN FIRED FROM AN ELECTRON GUN? like an amplitude function squared or something?

Is the speed (ignoring direction) of the electron constant throughout the experiment, from when it leaves the gun to when it hits the barrier?

Thanks in advance
 
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Nitrogen said:
Is there a function that models the probability of finding an electron at a certain point ONCE It's BEEN FIRED FROM AN ELECTRON GUN? like an amplitude function squared or something?
A planar wave is a good approximation. That gives the same probability density everywhere.
Nitrogen said:
Is the speed (ignoring direction) of the electron constant throughout the experiment, from when it leaves the gun to when it hits the barrier?
In front of the slit? You can assume that. Behind that, the single speed is replaced by a probability distribution if you measure it.
 

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