Quantum to classical correspondence for the Fermi-acceleration model

DOI10.1016/0167-2789(91)90006-UzbMath0732.70008OpenAlexW1964597622MaRDI QIDQ808738

N. E. Zubov

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90006-u

zbMATH Keywords

stabilitychaotic motionquantum particleclassical motion in phase spacecycle-n fixed pointsFermi acceleratorunusual semiclassical limit

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

On the propagators for hard-wall potentials oscillating periodically with constant velocity ⋮ Nonlocality and local causality in the Schrödinger equation with time-dependent boundary conditions ⋮ Classical and quantum localization and delocalization in the Fermi accelerator, kicked rotor and two‐sided kicked rotor models ⋮ Exact evolving states for a class of generalized time-dependent quantum harmonic oscillators with a moving boundary ⋮ Dynamical revivals in spatiotemporal evolution of driven one dimensional box

Cites Work

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• On the quantum Fermi accelerator and its relevance to ``quantum chaos
• Fermi acceleration revisited
• Dynamics of classically chaotic quantum systems in Wigner representation
• A linear code for the sawtooth and cat maps
• Regular and stochastic motion
• The interaction of charge carriers in superfluid helium with microwave fields-quantum dynamics of a classically chaotic system
• Schrödinger equation with time-dependent boundary conditions
• Novel temporal behavior of a nonlinear dynamical system: The completely inelastic bouncing ball

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