Phase spaces, from classical to quantum mechanics, and back

Give me matter and motion, and I will construct the universe 

Consider a system with N interacting classical point-mass particles in constant motion. These are physical bodies whose dimensions can be assumed immaterial to their motion. Consider the particle positions LvL2 Liv where r, = (jc, y, z,), for all /, in a Cartesian coordinate system. 

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Phase spaces, from classical to quantum mechanics, and back... 

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