On the initial value problem for the Madelung hydrodynamic equations

DOI10.1016/0375-9601(94)90380-8zbMath0959.81522OpenAlexW2051824474MaRDI QIDQ1964415

Timothy C. Wallstrom

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90380-8

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum ⋮ Geometric hydrodynamics in open problems ⋮ Regular and chaotic causal trajectories for the Bohm potential in a restricted space. ⋮ Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics ⋮ Multi-valued vortex solutions to the Schrödinger equation and radiation ⋮ Statistical origin of quantum mechanics

Cites Work

• Applications of analysis on nilpotent groups to partial differential equations
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