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Adiabatic projections from the pseudodifferential point of view. (Projecteurs adiabatiques du point de vue pseudodifférentiel.) (French) Zbl 0783.35087
Summary: We show how the use of formal pseudodifferential operators permits to recover the construction and a fundamental property of a certain family of projections, which plays an important role in linear adiabatic theory.

MSC:
35S05 Pseudodifferential operators as generalizations of partial differential operators
35P20 Asymptotic distributions of eigenvalues in context of PDEs
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
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