Quantum Birkhoff normal forms

DOI10.1007/s11232-009-0115-2zbMath1192.81145OpenAlexW2047828965MaRDI QIDQ845125

A. Yu. Anikin

Publication date: 5 February 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0115-2

zbMATH Keywords

automorphismBirkhoff normal formalgebra of observablesquantum analogue

Mathematics Subject Classification ID

Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Cites Work

• Normal form of a quantum Hamiltonian with one and a half degrees of freedom near a hyperbolic fixed point
• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• Noncommutative structures
• Fourier integral operators. I
• Fourier integral operators. II
• Birkhoff normal forms for Fourier integral operators II
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Asymptotic and geometric quantization
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