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I'm a mathematician.
I'm required to give a lecture on the Stone-von Neumann theorem. I already have all the mathematical details figured out, but I wish to make the lecture more interesting by giving the physical connection to the theorem.

Problem is, I don't recall much of the quantum physics course I took as an electrical engineering student 10 years ago. Can you please give me a fair background on the theorem, in simple words, I can present as an intro to the mathematical details (Historical anecdotes, the relation to the wave function etc.)?

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