The level crossing problem in semi-classical analysis. II: The Hermitian case.

DOI10.5802/aif.2054zbMath1067.35162OpenAlexW2318145770MaRDI QIDQ1774067

Yves Colin de Verdière

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_5_1423_0

zbMATH Keywords

polarizationnormal formsemi-classical analysisBorn-Oppenheimer approximationsymplectic manifoldmode conversioneigenvalues crossingmicrolocal solutionspseudo-differential system

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Symplectic manifolds (general theory) (53D05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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