High order corrections to the time-dependent Born-Oppenheimer approximation. I: Smooth potentials

DOI10.2307/2007093zbMath0619.35094OpenAlexW2329542270MaRDI QIDQ1089522

George A. Hagedorn

Publication date: 1986

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/76369

zbMATH Keywords

dynamicsasymptotic expansionstime dependent Schrödinger equationwave functionsBorn-Oppenheimer approximationparticles of large massparticles of small massquantum mechanical systemsmooth potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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