One of the most important results of Classical Mechanics is Liouville's theorem, which tells us that the flow in phase space is like an incompressible fluid.
However, in the phase space formulation of Quantum Mechanics, one of the main results due to Moyal is that quantum flows are compressible.
So what's the intuitive reason for this difference?
Formulated a bit differently: What exactly is the assumption used in the derivation of Liouville's theorem that is no longer valid in Quantum Mechanics?
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