What Else Splits in Single Particle Interference Experiments?

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San K
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In single particle interference experiments:

what, besides probability amplitude, splits at the slits?

don't mean to have the reader in splits...;)Side note:
During the creation of entangled photons (and I am not saying that in single particle interference there, necessarily, is some form of entanglement) the momenta/energies/frequencies are split. The law of conservation of energy still applies to this quantum mechanics phenomena known as quantum entanglement.
 
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The barrier splits at the slits.
Note: the probability amplitude does not "split" either. That is not a useful way of describing what happens. In wave-mechanics, the wave-function is continuous.
 
Nothing splits at the slits.
Splitting (of wave function), or more precisely decoherence, happens at the detector or at any place where the system interacts strongly with the environment.