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coming from the view that the wave function is a probability field for the particle, so if that is used wouldn't the same need to be done for all possible interactions? Now what about in the case where the wave function is smaller than the wave of matter, like in the case of the electron microscope? The diffraction and Compton scattering is based on what seems to be a mix of particle and wave interactions.

this also raises the question of the energy, the wave is a scalar field but the particle is not. why is the particle energy the whole of the probability field and not a percentage or fraction?

this is coming from after yrs of just accepting the duality of wave/particle and not really looking at it, then deciding to. I also went back and dug up the early work in quantum physics by DeBroglie, Schrodinger, Plank. etc... and found it to be good for getting an understanding on where it started and how it developed but alas it also tends to raise further questions. So much is tied to wave mechanics and thermodynamics in a classical manner and then it seems to come down to the interpretation of Schrodinger's equation.