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.
Neumann, Zus¨ atze zur arbeit, zur operatorenmeth- ode..., Annals of Mathematics 33, 789 (1932)
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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.