No doubt it's been questioned before so what is the theory or experiment? If there is an experiment.
closed as unclear what you're asking by John Rennie, Kyle Kanos, jinawee, Qmechanic♦ Mar 13 '14 at 15:06
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Reading your question and the comments beneath, your use of the term "particle function" has no real meaning.
I think I understand what you are asking, something like... We have proved that waves (light) can act as a particles through the double slit experiment. Is there a method to prove that matter (particles) can act an a wavelike manner?
The answer of course is yes! We have used the particle equivalent of the DS expt. which is electron diffraction. We can shoot a beam of electrons through a diffracting crystal (the lattice of the crystal acts as the slits) and we are able to see a diffraction pattern:
Apologies if this is not the question you're asking.