Time-independent, paraxial and time-dependent Madelung trajectories near zeros

DOI10.1088/1751-8121/ad10f2OpenAlexW4389118815MaRDI QIDQ6138883

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Publication date: 16 January 2024

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/ad10f2

zbMATH Keywords

cuspvorticesstreamlinesPearceyquantum velocity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Vortex flows for incompressible inviscid fluids (76B47) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Pattern formations in context of PDEs (35B36) Partial differential equations (35-XX)

Cites Work

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• Superoscillations and the quantum potential ^*
• De Broglie normal modes in the madelung fluid

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