Have you ever had a dream, Neo, that you seemed so sure it was real? But if were unable to wake up from that dream, how would you tell the difference between the dream world & the real world?
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This simple tool displays the angle {$\theta^2$} between two wavefunctions. This is defined as
{$1-\theta^2/2 = \cos \theta = \langle A | B \rangle / ||A|| \; ||B||$}
usage: mp-diff <psi1> <psi2>