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.