# wave-function question

by dlgoff
Tags: wavefunction
 PF Patron Sci Advisor P: 2,554 There's an interesting thread on Conciousness in the Metaphysics & Epistemology forum dealing with the collapse of wave-functions. Can someone explain what collapsing a wave function means and how to visualize it? Thanks in advance.
 P: 3,394 Think of a (Hilbert) complex vector space, where each state vector represents an equivalent wavefunction. According to von Neumann, the probability between unitary states is the projection, or collapse, of the one vector upon the other, always less than or equal to one. (Visualize the projection of a hypotenuse upon a leg.)
PF Patron
P: 2,554
Thanks for the reply. I just finished watching some Feynman lectures and I'm probably not ready (know enough) to ask.

 [b]According to von Neumann, the probability between unitary states is the projection, or collapse, of the one vector upon the other[b/]
Oh, I think I "see". Projection. That makes since. The final observatation\event vector has all other possible state vectors projected upon it? I visualize dominos falling in patterns to a central point. I'll look up hypotenuse and try to understand better. Thanks again.

P: 3,394

## wave-function question

Both the initial and final state vectors project singly upon each other by measurement.

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