As expected, when considering the particles as having completely random magnetic moments, we get the following distribution of hits :
If we also widen the uncertainty in the X direction, we get somthing like this :
If we use the simplified model, in which the spin can only take "up" or "down" values, along the Z axis, we get a flat distribution that looks like this :
But if we go further and measure the spin continuesly along the axis tangent to the field in its current position, we get a more interesting distribution, which is very similar to the original experimental result :
The point in the middle represents a possible, yet very rare event, in which the spin flips, because the field slightly changed, and the path becomes no longer monotonic.
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