The document discusses the concept of quantum molecular chaos, which generalizes the classical concept of molecular chaos to quantum systems. It defines quantum molecular chaos as a property of sequences of symmetric states on tensor products of C*-algebras. A sequence is quantum molecularly chaotic if the k-particle marginal states converge weakly to the k-fold tensor product of a single-particle state as the number of particles increases. It proves this definition is equivalent to the classical definition when applied to projections in the C*-algebra. It then introduces the Curie-Weiss model of ferromagnetism and proves it propagates quantum molecular chaos, allowing its dynamics to be described by the evolution of single-particle states alone.

Alexander Gottlieb - Propagation of Molecular Chaos by Quantum Systems and The Dynamics of The Curie-Weiss Model PDF

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