>>12619557in classical mechanics, a particles's position at a given time is described by a single point with coordinates . you can represent this by a function defined on space which is
it's like saying "the particle is surely at (x_0,y_0,z_0) and not anywhere else". what quantum mechanics does is that it allows particles to be described by arbitrary functions whose integral over whole space gives exactly 1, such as pic related. the thing is that nobody knows what is this supposed to mean. is the particle simultaneously at all points where ? is it the probability? we have no idea.
(it's actually bit more complicated, the function is complex valued and besides position it includes also information about the momentum. but the idea stands)
