Upper quantum Lyapunov exponent and parametric oscillators

DOI10.1063/1.1803926zbMath1064.81024OpenAlexW2087275430MaRDI QIDQ3024123

Stéphane Guérin, H. R. Jauslin, O. Sapin, Walter F. Wreszinski

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1803926

zbMATH Keywords

parametric quantum oscillatorsupper quantum Lyapunov exponent

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

Upper quantum Lyapunov exponent and Anosov relations for quantum systems driven by a classical flow ⋮ Models and the dynamics of theory-building in physics. II: Case studies ⋮ Roots for quantum ergodic theory in von Neumann's work ⋮ Approach to equilibrium for a class of random quantum models of infinite range

Cites Work

• The quantum stability problem for some class of time-dependent Hamiltonians
• Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
• On the existence of quantum characteristic exponents
• Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena
• On quantum characteristic exponents
• Anosov actions on noncommutative algebras
• Quantum parametric resonance

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