Adiabatic projections from the pseudodifferential point of view. (Projecteurs adiabatiques du point de vue pseudodifférentiel.) (French) Zbl 0783.35087

Sjöstrand, Johannes

C. R. Acad. Sci., Paris, Sér. I 317, No. 2, 217-220 (1993).

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

Keywords:

adiabatic projectors; formal pseudodifferential operators; linear adiabatic theory