Multi-Dimension Double Slit Experiment

Question

I'm not an expert in physics but it struck me recently that when performing the double-slit experiment, the measurement to detect the electron's location is performed at only one location, that is to say, after having traversed the double-slit. But why is the measurement only done in one dimension? What if there was a double-slit in the y-axis direction, as well as the x-axis, and even a z-axis measurement?

Sagar Patil · Answer

Here is what a basic double-slit experiment looks like:

We can see that the slits are vertical, and the direction of the pattern(bright fringe dark fringe) is perpendicular to this, a.k.a. horizontal. And the plane that the pattern is projected onto itself is just 2-dimensional, so there is not even any 3rd z-direction to measure. And the vertical direction(y) is also irrelevant, as the pattern itself occurs horizontally(on the x-axis). This is why measurements aren't usually done on the other dimensions.

Multi-Dimension Double Slit Experiment

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