Closed trajectories and two-dimensional tori in the quantum problem for a three-dimensional resonant anharmonic oscillator

Andrej I. Shafarevich, Victor Martínez-Olivé, S. Yu. Dobrokhotov

Publication date: 24 November 1998

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operator complex WKB method asymptotic eigenfunctions and eigenvalues complex Maslov canonical operator three-dimensional anharmonic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

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