On convergence of normal forms for complex frequencies

DOI10.1063/1.530299zbMath0783.58070OpenAlexW2047449941MaRDI QIDQ4276760

A. Ottolenghi

Publication date: 6 April 1994

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

Full work available at URL: https://doi.org/10.1063/1.530299

zbMATH Keywords

convergencenormal formHamiltonian system

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05)

Related Items (1)

A uniform quantum version of the Cherry theorem

Cites Work

• A criterion of integrability for perturbed nonresonant harmonic oscillators. Wick Ordering of the perturbations in classical mechanics and invariance of the frequency spectrum
• The Schrödinger equation and canonical perturbation theory
• Quantization of the classical Lie algorithm in the Bargmann representation
• Über die Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• On the integrals of canonical systems
• Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• On the generalization of a theorem of A. Liapounoff
• Birkhoff-Gustavson normal form in classical and quantum mechanics
• The normal form of a Hamiltonian system

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