Lately, I was thinking about the one-particle version of the double slit experiment, e.g. in which an electron or a buckyball is emmited. The precise description of what I mean can be found here.
This experiment clearly shows the wave-particle duality of electrons. But I am concerned in something a little bit different, that is, is every particle emmited in such an experiment identical to another ones? If that is the case, then I guess we can say, that there actually is some randomness hidden in the act of measurement and things start to be really interesting.
But I think, that emitting these identical particles is extremely hard to achieve from an experimental point of view (mainly due to the Heisenberg uncertanty principle, decoherence and noise related to the experiment itself). So, if we are in fact unable to reproduce the same initial conditions for each of the consecutive experients, can we still talk about randomness hidden in quantum physics?
If on the other hand we would be able to reproduce these initial conditions with perfect precission, maybe we would observe each particle in the same place on the screen every time? This place of observation could still prove the wave-particle duality nature of an electron (that is, it could be different from only two possible locations guaranteed by the only-particle nature of electrons), but I guess we couldn't still talk about the probability associated with the act of measurement.
What do you think about this?