Equivalence of some quantum stability concepts

DOI10.1016/S0034-4877(98)80172-9zbMath0915.58046OpenAlexW1991688891MaRDI QIDQ1272339

Maria C. de Toledo, César R. de Oliveira

Publication date: 29 June 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80172-9

zbMATH Keywords

measuresstabilityquantum mechanicsperiodicautonomousequivalentquasiperiodic Hamiltonians

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Almost periodic orbits and stability for quantum time-dependent Hamiltonians ⋮ Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions

Cites Work

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• Diffusive energy growth in classical and quantum driven oscillators
• Upper bounds for the energy expectation in time-dependent quantum mechanics
• Floquet spectrum for two-level systems in quasiperiodic time-dependent fields
• Some remarks concerning stability for nonstationary quantum systems.
• On quantum stability for systems under quasiperiodic perturbations
• Chaotic spectra of classically integrable systems
• Spectral and stability aspects of quantum chaos
• Ergodic theory of chaos and strange attractors

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