Some remarks concerning stability for nonstationary quantum systems.

DOI10.1007/BF02183701zbMath1078.81527OpenAlexW2032427176MaRDI QIDQ1593191

César R. de Oliveira

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02183701

zbMATH Keywords

energy growthprecompact orbitsdriven systemsQuantum stability

Mathematics Subject Classification ID

Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

ON THE STABILITY OF PERIODICALLY TIME-DEPENDENT QUANTUM SYSTEMS ⋮ Almost periodic orbits and stability for quantum time-dependent Hamiltonians ⋮ On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum ⋮ A proof of the dynamical version of the Bombieri–Taylor conjecture ⋮ Equivalence of some quantum stability concepts ⋮ Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions ⋮ Upper bounds for the energy expectation in time-dependent quantum mechanics

Cites Work

• Resonances for the AC-Stark effect
• Some results on the quantum dynamics of a particle in a Markovian potential
• Perturbation theory of dense point spectra
• Recurrent versus diffusive dynamics for a kicked quantum system
• Diffusive energy growth in classical and quantum driven oscillators
• ASYMPTOTIC COMPLETENESS IN THE PROBLEM OF SCATTERING BY A BROWNIAN PARTICLE
• Spectral properties of a simple Hamiltonian model
• Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations
• Spectral and stability aspects of quantum chaos
• On kicked systems modulated along the Thue-Morse sequence

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