Consider the double-slit experiment using a low-intensity source of monochromatic photons: If the intensity is low enough, one can observe the photons, one at a time, slowly developing an interference pattern on a photographic plate. The interference pattern, over time, resembles more and more the continuous probability density function associated with the wave function, i.e. it “converges” to the PDF. I have just started reading about the different types of convergence in probability theory: Convergence in Distribution Convergence in Probability Almost Sure Convergence Etc. Has anybody found QM literature researching the types of convergence that occur in QM random processes? Thanks in advance.