De Broglie normal modes in the madelung fluid

DOI10.1007/s10701-023-00676-zzbMath1528.81010MaRDI QIDQ6170707

Eyal Heifetz, Leo R. M. Maas, Anirban Guha

Publication date: 13 July 2023

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/427538

zbMATH Keywords

normal modesMadelung fluidde Broglie matter waves

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Hydro- and aero-acoustics (76Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Coherent states (81R30) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items (1)

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

Cites Work

• Toward a thermo-hydrodynamic like description of Schrödinger equation via the Madelung formulation and Fisher information
• Effective classical stochastic theory for quantum tunneling
• Atmospheric and Oceanic Fluid Dynamics
• Waves and Mean Flows
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon
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