It is shown that the probability density satisfies a hyperbolic equation of motion with the unique characteristic that in its many-particle form it contains derivatives acting at spatially remote regions. Based on this feature we explore inter-particle correlations and the relation between the quantum equilibrium condition and the permutation invariance of the probability density. Some remarks with respect to the quantum to classical transition are also presented.
Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule
Quantum Systems and Identity: Against "Permutation Invariance"
Probabilities from Entanglement, Born's Rule from Envariance
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