Semiclassical evolution with low regularity

DOI10.1016/j.matpur.2021.02.008zbMath1472.35323arXiv2011.14884OpenAlexW3108210280MaRDI QIDQ2036833

François Golse, Thierry Paul

Publication date: 30 June 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14884

zbMATH Keywords

semiclassical approximationWigner functionSchrödinger equationWasserstein distanceHusimi function\(N\)-body systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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