A uniform quantum version of the Cherry theorem

DOI10.1007/s00220-007-0380-6zbMath1151.81015arXivmath-ph/0702021OpenAlexW2003437155MaRDI QIDQ934592

Carlos Villegas-Blas, Sandro Graffi

Publication date: 30 July 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0702021

zbMATH Keywords

Birkhoff normal formCherry theoremquantum mechanical harmonic oscillator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Massey products (55S30)

Related Items (2)

Convergence of a quantum normal form and an exact quantization formula ⋮ A quantum Cherry theorem for perturbations of the plane rotator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Normal forms and quantization formulae
• On the integrals of canonical systems
• Harmonic Analysis in Phase Space. (AM-122)
• On convergence of normal forms for complex frequencies

This page was built for publication: A uniform quantum version of the Cherry theorem