Quantum mechanics as an approximation of statistical mechanics for classical fields

DOI10.1016/S0034-4877(07)80345-4zbMath1139.81004arXivcond-mat/0506077OpenAlexW2068735688MaRDI QIDQ925789

Andrei Yu. Khrennikov

Publication date: 23 May 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0506077

zbMATH Keywords

small parameterapproximationTaylor expansionincompleteness of quantum mechanicsquantum and classical averagesquantum contribution into classical field averagevon Neumann trace formula

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Classical equilibrium statistical mechanics (general) (82B05) Quantum stochastic calculus (81S25)

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Quantum correlations as correlations of classical Gaussian signals: ``Entanglement at the subquantum level ⋮ Towards a wave resolution of the wave-particle duality

Cites Work

• A probabilistic formulation of quantum theory
• The Statistical Interpretation of Quantum Mechanics
• A pre-quantum classical statistical model with infinite-dimensional phase space
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