Invariant tori, effective stability, and quasimodes with exponentially small error terms. II: Quantum Birkhoff normal forms

DOI10.1007/PL00001005zbMath1002.37028OpenAlexW2082872605MaRDI QIDQ1588816

R. Smith

Publication date: 4 December 2000

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001005

zbMATH Keywords

Hamiltonian systemsdiscrete spectrumquasimodesSchrödinger type operatorsquantum Birkhoff normal forms

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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