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As I've pointed out to you before, if you have a problem with physical applications of complex numbers, you should be equally offended by physical applications of matrices, because matrices of the form [[a,-b],[b,a]] are isomorphic to complex numbers. In fact, your problem isn't just with quantum mechanics; if you can't stand complex numbers, you should also have a problem with (for just one example)

simple harmonic motion.In detail: we model a mass attached to a spring with the equation

F=-k... (read more)