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RE: Probing antimatter in its deepest details at CERN
The positron was discovered after the birth of quantum mechanics. In fact, antiparticles appeared naturally i the theory (the development of Klein-Gordon and Dirac equations) and physicists from that time were not understanding what they were.
To answer your question: The wave functions will be different for the different (anti)atomic species.
I hope it helps!
This topic is waaay above me, but actually yes, I can imagine something to what you've said. Thanks for that.
You are very welcome!