On the quantum Fermi accelerator and its relevance to ``quantum chaos

DOI10.1007/BF00399758zbMath0698.35143OpenAlexW2045187139MaRDI QIDQ912304

N. E. Zubov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00399758

zbMATH Keywords

chaotic motionconserved energytime-dependent Schrödinger equationFermi acceleratorFloquet-HamiltonianKAM surfacesnew time variable

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Partial differential equations of mathematical physics and other areas of application (35Q99) Second-order parabolic equations (35K10)

Related Items (6)

The simplified Fermi accelerator in classical and quantum mechanics ⋮ Floquet Hamiltonians with pure point spectrum ⋮ A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux ⋮ Fractal-like quasienergy spectrum in the Fermi-Ulam model ⋮ Stability and Instability of the Wave Equation Solutions in a Pulsating Domain ⋮ Quantum to classical correspondence for the Fermi-acceleration model

Cites Work

• The quantized Baker's transformation
• Transient and recurrent spectrum
• Regular and stochastic motion
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