Suppose I plan an experiment to sample the position of an electron in an atom. I pick an arbitrary position that's close to the nucleus. Isn't the probability that I will find an electron at that exact chosen position at any one moment in time equal to 0, since an electron is thought of being point-like/infinitesimally small? In the probability desnity function Pr(X=x) = 0 for all x in the domain. How does the electron move around the nucleus? Does it appear at one location as soon as it disappears at another location (in a memory-less fashion), and the previous position does not matter? Or is the movement continuous (like in the Bohr model, just with irregularly shaped orbits)? Or is it pseudocontinuous/discrete, meaning the next position depends (is correlated) with the previous position? If one of the noncontinuous cases reflect the truth, what is the time period until it appears somehwere else? Also, why does the proton not suck in the electron due to the magnetic attraction? Regarding the wave-particle duality I am confused as well. What does it mean to be a wave? Does the electron oscillate slightly across the two axes that are perpendicular to the orbit?