And this is true whether you detect which slit it passes through before or after its point of impact has been detected.
That's what's weird. A particle can be particle-like or wave-like, but not both, and the thing that determines which it is is whether or not you will look.
This part is not mysterious.
The mysterious part is, what in the world could be the thing that acts as a wave function and then collapse to a single point when it interacts with something else? What underlying reality does this hint at?
It's not just about interaction causing collapse, or, if it is, a particle which has been interacted with and collapsed may be subsequently uninteracted with and uncollapse back into a wave.
http://en.wikipedia.org/wiki/Quantum_eraser http://en.wikipedia.org/wiki/Delayed_choice_quantum_eraser
Say you have a photon in a superposition of state A and state B - think position. If it is in state A it hits a detector, if it is in state B it does not. If the detector is hit, it displays 'HIT' on its screen - otherwise it does not. If 'HIT' is displayed, the researcher thinks photon was in state A, otherwise the researcher thinks it is in state B.
The result of the experiment, without any wavefunction collapse, is a superposition of two states of the entire system:
State 1: Photon is in A, Detector was Hit, Researcher thinks photon is in A
+
State 2: Photon is in state B, detector was not hit, researcher thinks photon is in B.
As you can see, the fact that the researcher never sees a photon in a superposition of states a+b (he doesn't ever see the detector both lit up and not) is explained without any wavefunction collapse.
Why are you assuming the particle has got to have a "position"?
The fact that a quantum particle can interfere with itself would be experimental evidence that it doesn't in fact have a definite position.
I’m a total layman here but so fascinated with all this. Trying to get a better understanding.
The problem is people tend to assume observation is passive, they think seeing something does't affect it; this simply isn't true at all. Eyes only work because the sun is continually spraying and bouncing photons off everything. Sight isn't passive at all, you need a photon source spraying photons everywhere, like a flash light.
What's strange about the doulbe slit experiment isn't that watching forces the particles to act like particles, that's the expected behavior all the time, the same as a single slit. What's strange is that when you don't watch it, you get the interference pattern indicating a wave that isn't acting like a particle. That's not at all expected and indicates the particle is going through both slits and interfering with itself. I'm a total layman as well, but that's my take on it.
For a better explanation than I could possibly write here, see http://lesswrong.com/lw/r5/the_quantum_physics_sequence/.
Actually, you get wave properties (interference) even with a single photon at a time. This is why it is so fucked up... http://en.wikipedia.org/wiki/Double-slit_experiment#Interfer...