Making a program to model the Double Slit Experiment?

[Nitrogen]

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

 

[mfb]

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.

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.