A quantum electron wavepacket with energy uncertainty larger than the photon energy gains a net classical acceleration, and a pre-interaction drift can focus its energy spectrum.
J., Asenjo-Garcia, A., Kociak, M., Multiphoton absorption and emission by interaction of swift electrons with evanescent light fields, Nano letters, 10(5), 1859-1863 (2010)
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Quantum Emergence of Linear Particle Accelerator and Anomalous Photon-induced Near-field Electron Microscopy in a Strong Coupling Regime
A quantum electron wavepacket with energy uncertainty larger than the photon energy gains a net classical acceleration, and a pre-interaction drift can focus its energy spectrum.