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Re:Quantum Mechanics Without Maths or Philosophy by jessriedel on Thursday June 15, 2017 @10:35AM (#14560747)
> is there a QM-equivalent model using only real-valued functions?

Yes, the Wigner-Weyl transformation produces a completely equivalent way to formulate quantum mechanics without reference to complex numbers. The wavefunction over real space is replaced with a (generically not positive) real-valued pseudo-probability distribution on phase space called the Wigner function.

https://en.m.wikipedia.org/wiki/Wigner–Weyl_transform

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