The classical N-body problem is rewritten as a unitary bosonic quantum field theory, with the Vlasov equation derived from a quantum operator identity and from coherent-state variational dynamics.
Joseph, Koopman–von neumann approach to quantum simulation of nonlinear classical dynamics, Physical Re- view Research 2, 043102 (2020)
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Koopman-von Neumann Field Theory
The classical N-body problem is rewritten as a unitary bosonic quantum field theory, with the Vlasov equation derived from a quantum operator identity and from coherent-state variational dynamics.