QUASI-INVARIANT TORI AND SEMI-EXCITED STATES FOR SCHRO¨DINGER OPERATORS. I. ASYMPTOTICS

DOI10.1081/PDE-120016126zbMath1129.35441MaRDI QIDQ4796710

Noureddine Kaidi, Michel Rouleux

Publication date: 5 March 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsBirkhoff normal formLagrangian singularitiesAsymptoticsQuasi-invariant toriQuasi-modes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Pseudodifferential operators (47G30)

Cites Work

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