how can we prove that electron has wave like property?
Answers
The Davisson–Germer experiment confirmed the de Broglie hypothesis that matter has wave-like behavior. This, in combination with the Compton effect discovered by Arthur Compton (who won the Nobel Prize for Physics in 1927), established the wave–particle duality hypothesis which was a fundamental step in quantum theory.
the matter wave picture elegantly incorporated the Heisenberg's uncertainty principle.according to the principle it is no possible to measure both position and momentum of an electron at the same time exactly.there is always some uncertainty in the specification of position and some uncertainty in the order if h ( with h=h/2pi)
dx dp ~ h
now if an electron has a definite momentum p , by the de Broglie relation,it has definite wave length.a wave of definite wavelength extends all over space ,by born's probability interpretation this means that electron is not localised in any finite region of space.that is ,its position uncertainty is infinite .