Madelung transform and probability densities in hybrid quantum–classical dynamics

DOI10.1088/1361-6544/aba233zbMath1454.35310arXiv1907.06624OpenAlexW3100926414MaRDI QIDQ5130945

Cesare Tronci, François Gay-Balmaz

Publication date: 30 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06624

zbMATH Keywords

quantum hydrodynamicsmomentum mapgeometric mechanicsMadelung transform

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Applications of differential geometry to physics (53Z05) Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Quantum state spaces, operational and probabilistic concepts (81P16) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

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