Prequantum classical statistical field theory: Schrödinger dynamics of entangled systems as a classical stochastic process

DOI10.1007/s10701-009-9402-xzbMath1210.81026OpenAlexW2010091969MaRDI QIDQ2430421

Andrei Yu. Khrennikov

Publication date: 6 April 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-009-9402-x

zbMATH Keywords

stochastic dynamicsSchrödinger's equationentangled systemsclassical random fields

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic mechanics (including stochastic electrodynamics) (81P20) Quantum coherence, entanglement, quantum correlations (81P40)

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Cites Work

• Unnamed Item
• Quantization in classical mechanics and its relation to the Bohmian \(\Psi \)-field
• Born's rule from classical random fields
• Nonlinear Schrödinger equations from prequantum classical statistical field theory
• Prequantum classical statistical field theory: complex representation, Hamilton-Schrödinger equation, and interpretation of stationary states
• Generalizations of quantum mechanics induced by classical statistical field theory
• To quantum averages through asymptotic expansion of classical averages on infinite-dimensional space
• Note on the existence theorem in ‘emergent quantum mechanics and emergent symmetries’
• THE GAUGE SYMMETRY OF THE THIRD KIND AND QUANTUM MECHANICS AS AN INFRARED LIMIT
• A pre-quantum classical statistical model with infinite-dimensional phase space

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