Ιf light or the photon is considered as both particle and wave could the same apply to the electron? If a water wave is water spread in space, could the electron be considered as charge/energy "smudged" in space? The Schrödinger equation and the wave function Ψ provide a model for the related probabilities. The quantum numbers are the solution of the equation. They are related to the rotational motion from classical mechanics! Is this why we say "quantum mechanics"?