The Madelung picture as a foundation of geometric quantum theory

DOI10.1007/s10701-017-0112-5zbMath1429.81038arXiv1509.00467OpenAlexW1787861068MaRDI QIDQ1748032

Maik Reddiger

Publication date: 2 May 2018

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

Full work available at URL: https://arxiv.org/abs/1509.00467

zbMATH Keywords

classical limitgeometric quantizationinterpretation of quantum mechanicsMadelung equationsgeometric quantum theory

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic quantization (81S20)

Related Items (7)

Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ Time-independent, paraxial and time-dependent Madelung trajectories near zeros ⋮ The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners ⋮ Quantum curl forces ⋮ The symplectic geometrical formulation of quantum hydrodynamics ⋮ Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics ⋮ A fundamental problem in quantizing general relativity

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