Normal form of a quantum Hamiltonian with one and a half degrees of freedom near a hyperbolic fixed point

DOI10.1134/S1560354708050018zbMath1229.81126MaRDI QIDQ652979

Juan-Miguel Gracia

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

algebra of quantum observablesnon-autonomous quantum dynamicsquantum normal forms

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

Quantum Birkhoff normal forms ⋮ Non-commutative normal form, spectrum and inverse problem

Cites Work

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• Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. III.
• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• 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

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