Making a program to model the Double Slit Experiment?

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The discussion focuses on simulating the Double Slit Experiment (DSE) and addresses key questions about modeling electron behavior. A planar wave can be used as an approximation to model the probability density of finding an electron after it is fired from an electron gun. It is suggested that the speed of the electron remains constant until it reaches the barrier, but once it passes through the slit, its speed is represented by a probability distribution if measured. The conversation emphasizes the importance of understanding wave functions and probability in quantum mechanics. Overall, the thread provides insights into the complexities of simulating the DSE.
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.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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