English

Resonant Interaction of Modulation-correlated Quantum Electron Wavepackets with Bound Electron States

Quantum Physics 2020-12-29 v3

Abstract

Free-Electron Bound-Electron Resonant Interaction (FEBERI) is the resonant inelastic interaction of periodically density-bunched free electrons with a quantum two level system. We present a comprehensive relativistic quantum mechanical theory for this interaction in a model in which the electrons are represented as quantum electron wavepackets (QEW). The analysis reveals the wave-particle duality nature of the QEW, delineating the point-particle-like and wave-like interaction regimes, and manifesting the physical reality of the wavefunction dimensions and its density modulation characteristics in interaction with matter. The analysis comprehends the case of laser-beam-modulated multiple QEWs that are modulation-phase correlated. Based on the Born interpretation of the electron wavefunction we predict quantum transitions enhancement proportional to the number of electrons squared, analogous to superradiance.

Keywords

Cite

@article{arxiv.2010.15756,
  title  = {Resonant Interaction of Modulation-correlated Quantum Electron Wavepackets with Bound Electron States},
  author = {Avraham Gover and Bin Zhang and Du Ran and Reuven Ianconescu and Aharon Friedman and Jacob Scheuer and Amnon Yariv},
  journal= {arXiv preprint arXiv:2010.15756},
  year   = {2020}
}

Comments

37 pages, 9 figures, 1 table

R2 v1 2026-06-23T19:45:10.637Z