Quantum Nekhoroshev Theorem for Quasi-Periodic Floquet Hamiltonians

DOI10.1142/S0129055X98000124zbMath0927.34070MaRDI QIDQ4221338

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Publication date: 5 December 1999

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

zbMATH Keywords

Nekhoroshev theoremFloquet Hamiltoniansstability of Hamiltonian flows

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50)

Cites Work

• Stability of motions near resonances in quasi-integrable Hamiltonian systems
• The quantum stability problem for some class of time-dependent Hamiltonians
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• Floquet spectrum for two-level systems in quasiperiodic time-dependent fields
• Floquet Hamiltonians with pure point spectrum
• Effective stability and KAM theory
• Effective Reducibility of Quasi-periodic Linear Equations Close To Constant Coefficients
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Spectral and stability aspects of quantum chaos

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