Robustness of perturbation series at high energies

DOI10.1088/0305-4470/33/31/311zbMath1005.81027OpenAlexW2057623741MaRDI QIDQ4520625

Martin Kunz

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/31/311

zbMATH Keywords

level crossingperturbation amplitudeanalogues of classical KAM toriclassically resonant regionscompletely integrable Hamiltonians

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Resonance in context of PDEs (35B34) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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