> If quantum mechanics was done using a real-valued Hilbert space, you
> simply don't get wavelike interference patterns.

To my knowledge, you don't get interference patterns for *positive*
real-valued Hilbert space, but for real-valued Hilbert space you do.


Check http://mina4-49.mc2.chalmers.se/~dobsicek/PhDThesis.pdf on page 39
for a quick review and references.

Sincerely,
 Mirek

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