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I have the doubt that what exactly do we consider in quantum mechanics. Let me say like the electron is a particle and when we will observe it will have a defined position, and otherwise it may have been in superposition of various positions according to its probability wave. I guess thats the copenhagen interpratation.

But is that the way we speak of dual nature of matter, like the way we are taught

**de broglie's hypothesis we say if waves have dual nature particle may also have dual nature with the argument of Symmetry.**But in that case I guess and i feel that the way we have dual nature in electromagnetic radiation, we must have dual nature of electron same way.

The wave associated with matter is only a probability wave.

That wasnt the way i thought about dual nature, it was somewhat like electron is a well particle at sometime and a wave at some time like photons or other way i.e. like photons also have some probability associated in form of wave and things like collapsing etc.

And more general i guess we must have fundamental equation applying both for radiation and matter, even if photons are mass less.

Please point out conceptual mistakes! and i know interpretation of quantum mechanics is a big job not so at basic level. Does quantum field theory have provide some solution to this wave particle problem.