What is exactly the difference between wave of probability and wave function? In the book The Hidden Reality, Brian Greene says that , in double slit experiment, the wave of probability goes through the open slit(s). And hence, if both are open, then they interfere giving place to an interference pattern.
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It sounds like the difference Brian Greene is referring to is that a wavefunction takes on complex values (i.e., partially imaginary), and he doesn't think a popular reader will want to deal with that, so he is multiplying the wavefunction by its complex conjugate (which turns it into a real number that is positive, and can be interpreted as a kind of probability). So the bottom line is, he doesn't think the distinction is important at the level of the audience he is trying to reach. Note we normally wouldn't think of probability waves as interfering, we'd think of wavefunctions as interfering when you go to calculate the resulting probability wave.