Koopman-von Neumann Field Theory

James Stokes

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arXiv · 2507.11541

Koopman-von Neumann Field Theory

James Stokes

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Abstract

The classical many-body problem is reformulated as a bosonic quantum field theory. Quantum field operators evolve unitarily in the Heisenberg picture so that a quantum Vlasov equation is satisfied as an operator identity. The formalism enables the direct transfer of techniques from quantum information and quantum many-body field theory to classical nonequilibrium statistical mechanics. Implications for quantum algorithms are discussed.

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quant-ph cond-mat.stat-mech hep-th

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James Stokes. 2025-07-15. Koopman-von Neumann Field Theory. https://arxiv.org/abs/2507.11541

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