Convergence of a quantum normal form and an exact quantization formula

DOI10.1016/j.jfa.2012.01.010zbMath1248.81096arXiv1102.0942OpenAlexW1964736254MaRDI QIDQ408150

Sandro Graffi, Thierry Paul

Publication date: 29 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0942

zbMATH Keywords

quantization formulaquantum normal form

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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Cites Work

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