The 2 slits experiment done with 1 electron shows interference from the "splitted" wavefunctions. EDIT: as precised in an answer, it is after many electrons goes in the experiment that the interferences appear from the spots of all electron
My question is, if we sent 2 electrons simultaneously in the 2 slits and each one can go in only 1 slit because we put a separation between the slits so we ensure that electron e1 goes in slit s1 and electron e2 goes in slit s2 like this :
Does the 2 wavefunction of the 2 electrons would interfere each other ?
EDIT: My question received many answers and I thank you all. The answers are considering the experiment in different ways but I see some key points to take in consideration :
- My question disregards which system is studied. I saw my 2 electrons as 2 systems interfering into each other whereas the correct way to see it is to consider 1 system of 2 particles which may have interference between 2 states.
- Some answers suggest that we should use the same source for both electron which would enforce the idea of 1 system from the source (whereas I find more "challenging" to have 2 different sources but it maybe very tricky to do)
- It is also highlighted that one key point is that we should not know "which way" one electron goes to have interference. So it is important to have no way to distinguish one electron from another (and so if this experiment indeed shows interference in a "not distinguishable electron setup" and afterward we find a way to "mark" an electron from the source and find out this mark on the final spot, it would destroy the interference)
- A study is cited that seems to have some common point with my question : https://doi.org/10.1016/S0006-3495(01)76179-6
(sorry I don't pick an answer as "correct" for the moment as there is a variety of point of view and I don't have the competence to be sure which one are more correct of the other so I did this edit to underline some ideas)