Link download film semi gratis full3/17/2024 The interaction is then elastic and requires the electron to undergo an equal number of virtual photon absorption/stimulated-emission processes. For example, the Kapitza–Dirac effect involves a conceptually simple configuration in which an electron intersects a light grating produced by two counter-propagating light beams of the same frequency 2, 3. To circumvent these limitations and increase the probability of electron–photon interaction, a variety of methods have been devised 1. Additionally, direct photon absorption or emission by a free-space electron is forbidden due to energy-momentum mismatch. The scattering of single photons by free-electrons is extremely weak, as quantified by the Thomson scattering cross-section, which for visible frequencies is of the order of 10 −29 m 2. The experimental results are in full agreement with our analytical theory, which predicts access to the zeptosecond timescale by adopting semi-infinite X-ray pulses. The amplitude and phase of the resulting electron–state coherent oscillations are mapped in energy-momentum space via momentum-resolved ultrafast electron spectroscopy. We make a relativistic single-electron wavepacket interact in free-space with a semi-infinite light field generated by two light pulses reflected from a mirror and delayed by fractions of the optical cycle. Here we demonstrate attosecond coherent manipulation of a free-electron wave function, and show that it can be pushed down to the zeptosecond regime. Pushing the coherent control of electrons by light to the attosecond timescale and below would enable unprecedented applications in quantum circuits and exploration of electronic motions and nuclear phenomena. Light–electron interaction is the seminal ingredient in free-electron lasers and dynamical investigation of matter.
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