Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon

DOI10.1088/1751-8121/acc7dbOpenAlexW4360991050MaRDI QIDQ5889871

Bill Poirier, Maik Reddiger

Publication date: 27 April 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/acc7db

zbMATH Keywords

Schrödinger equationquantum potentialquantum vorticesstochastic mechanicsMadelung equations

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Related Items (5)

Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum ⋮ 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 ⋮ De Broglie normal modes in the madelung fluid

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