Quantization in classical mechanics and its relation to the Bohmian \(\Psi \)-field

DOI10.1016/j.aop.2011.04.012zbMath1219.81138arXiv0906.1723OpenAlexW3101471255MaRDI QIDQ555608

S. Cht. Mavrodiev, D. S. Vlasenko, Vitaliy D. Rusov

Publication date: 25 July 2011

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

Full work available at URL: https://arxiv.org/abs/0906.1723

zbMATH Keywords

quantizationstability conditiondissipative forcesBohmian mechanicsChetaev's theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Stochastic mechanics (including stochastic electrodynamics) (81P20) Open systems, reduced dynamics, master equations, decoherence (81S22) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (4)

Prequantum classical statistical field theory: Schrödinger dynamics of entangled systems as a classical stochastic process ⋮ Emergent quantum Euler equation and Bose-Einstein condensates ⋮ Inflation due to quantum potential ⋮ Moment map and gauge geometric aspects of the Schrödinger and Pauli equations

Cites Work

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• Determinism in free bosons
• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Unified dynamics for microscopic and macroscopic systems
• Bohmian Mechanics
• Quantum Chaos
• On the Problem of Hidden Variables in Quantum Mechanics
• Generalized Hamiltonian Dynamics

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