Hoku said:
Hi, Antiphon! What I'm trying to find out is how we know that it interferes with itself if it doesn't display that pattern on the screen. It is said that, if a particle is fired at a barrier in which two slits are cut, it can go through both slits simultaneously. How do we know this is happening if there is no interference pattern displayed?
I know that a quantum "particle" is both a particle AND a wave. I know it, I believe it, no issue there. To me, the dot on the screen is evidence of its particle nature. Now, I need to understand evidence of it's wave nature. I used to think that evidence was displayed as interference on the screen. But now it seems that such interference is not displayed from just one particle.
You are correct, any single particle is detected at a discrete location .. a dot. However, if we shoot a large number of particles through the slit one-by-one, with space-like separations between them so we can be certain they don't interact, then we observe that the collective pattern of dots is an interference pattern.
So, let's think about how that can arise. We can safely assume that the test particles come from a stream of identical particles with some spread of transverse velocities, so that if there were no slits present, you would see a circular spot with a roughly gaussian radial intensity profile centered around the beam axis, ok? Now, assume you put a single slit in the way of the beam .. for classical particles, they would either hit the screen or be transmitted, and the observed pattern would be a the subset of the original gaussian profile, windowed by the slit .. also ok? Now put another identical slit quite closely spaced to the first slit. You will see the windowed profile described above from each slit .. they may overlap a bit, in which case the intensities will add normally. In other words, there is no interference pattern.
Thus, the fact that we observe an interference pattern (again, for repeated experiments) *must* indicate that there is something non-classical going on .. hopefully you are convinced of that. Luckily we have "the most successful theory in physics" (i.e. quantum mechanics) available, which predicts this behavior, and explains the observed non-classical pattern as arising from the wave-like character of the quantum particles.
That last paragraph sums up why it is somewhat hard for me to address your question directly ... to us (i.e. physicists), the wave-like properties are clear as day ... no further evidence or experiments is needed. The fact that you are asking for them tends to indicate that you don't fully understand the theory ... in which case you are in the right place to get help, but perhaps we could go about things a little differently. Do you understand how QM predicts the interference pattern?
Just as an FYI, we have been focusing on the interference pattern aspect of the two-slit experiment, which is fine, but that is not even the coolest part of that experiment ... the cool part happens when you try to figure out which slit a given particle goes through ... the interference pattern disappears! There are lots of threads in this forum describing that experiment in detail, so I won't rehash it here. I suggest that you read some of those threads, and come back here with questions (or ask in those threads if it seems appropriate).