Koopman-von Neumann Field Theory
Quantum Physics
2025-07-16 v1 Statistical Mechanics
High Energy Physics - Theory
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.
Cite
@article{arxiv.2507.11541,
title = {Koopman-von Neumann Field Theory},
author = {James Stokes},
journal= {arXiv preprint arXiv:2507.11541},
year = {2025}
}