Koopman-von Neumann Field Theory
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908450895691776 |
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| author | Stokes, James |
| author_facet | Stokes, James |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11541 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Koopman-von Neumann Field Theory Stokes, James Quantum Physics Statistical Mechanics High Energy Physics - Theory 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. |
| title | Koopman-von Neumann Field Theory |
| topic | Quantum Physics Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.11541 |