A quantum Cherry theorem for perturbations of the plane rotator

DOI10.1063/1.4851435zbMath1374.81054OpenAlexW1990920013MaRDI QIDQ5412817

Fiorella Barone, Sandro Graffi

Publication date: 28 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4851435

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Convergence of a quantum normal form and an exact quantization formula
• A uniform quantum version of the Cherry theorem
• The Schrödinger equation and canonical perturbation theory
• Quantization of the classical Lie algorithm in the Bargmann representation
• Normal forms and quantization formulae
• Über die Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• Convergence of a quantum normal form and a generalization of Cherry’s theorem
• Harmonic Analysis in Phase Space. (AM-122)
• Canonical transformations depending on a small parameter

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