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arXiv 2609.02099physics.opticsquant-ph

快电子的激光诱导相移

Laser-induced phase shift of swift electrons

Christian Dwyer, David M. Paganin

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中文总结 AI 辅助

本文针对快电子穿过激光电磁场的相移问题,采用三种方法计算并验证其结果一致性,发现相移与电子和激光束相对取向无关,且其洛伦兹不变结果与部分文献结果不同。

中文摘要 AI 辅助

本文重新计算快电子穿过激光电磁场时所经历的相移,这种相移目前以“激光相位板”的形式应用于透射电子显微镜(TEM)等设备中。我们采用三种不同方法计算该相移:应用于狄拉克方程的微扰理论、克莱因-戈登方程的沃尔科夫解以及相对论哈密顿-雅可比方程,发现三种方法结果一致,且计算出的相移与电子束和激光束的相对取向无关,同时解释了量子理论与经典理论之间的一致性。我们得到的洛伦兹不变相移结果与文献中发表的某些结果存在差异。

英文摘要

We revisit the calculation of the phase shift experienced by swift electrons on passing through the electromagnetic field of a laser. Such phase shifts are now utilized in the form of `laser phase plates' in transmission electron microscopes (TEMs), for example. We calculate the phase shift using three different methods, namely, perturbation theory applied to the Dirac equation, the Volkov solution to the Klein-Gordon equation, and the relativistic Hamilton-Jacobi equation. We find that all three methods are in agreement, and that the calculated phase shift is independent of the relative orientation of the electron and laser beams. The agreement between the quantum and classical theories is explained. The duality between the phase shifts experienced by electrons, photons and neutrons is described. Our Lorentz invariant result for the phase shift differs from certain results published in the literature.

发表机构

  • DECTRIS Ltd.(德特里斯有限公司)
  • School of Science, RMIT University(皇家墨尔本理工大学理学院)
  • School of Physics and Astronomy, Monash University(莫纳什大学物理与天文学院)

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