Abstract
We consider a quantized version of the Fermi accelerator as well as a simplified model. We show that if the time dependent external force is periodic, sufficiently regular, with small enough fluctuations and a “non resonant” frequency then the corresponding Floquet operators is pure point.
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Duclos, P., Šťovíček, P. (1995). Quantum Fermi Accelerators with Pure-Point Quasi-Spectrum. In: Demuth, M., Schulze, BW. (eds) Partial Differential Operators and Mathematical Physics. Operator Theory Advances and Applications, vol 78. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9092-2_11
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DOI: https://doi.org/10.1007/978-3-0348-9092-2_11
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