Quantum Wave-Particle Duality in Free-Electron–Bound-Electron Interaction
Abstract
We present a comprehensive relativistic quantum-mechanical theory for interaction of a free electron with a bound electron in a model, where the free electron is represented as a finite-size quantum electron wave packet (QEW) and the bound electron is modeled by a quantum two-level system (TLS). The analysis reveals the wave-particle duality nature of the QEW, delineating the point-particle-like and wavelike interaction regimes and manifesting the physical reality of the wave function dimensions when interacting with matter. This QEW size dependence may be used for interrogation and coherent control of superposition states in a TLS and for enhancement of cathodoluminescence and electron energy-loss spectroscopy in electron microscopy.
Additional Information
© 2021 American Physical Society. (Received 31 December 2020; accepted 8 April 2021; published 17 June 2021) We acknowledge the support of ISF (Israel Science Foundation) Grant No. 00010001000 and the PBC program of the Israel Council of Higher Education.Attached Files
Published - PhysRevLett.126.244801.pdf
Supplemental Material - PRL_LZ17061_RevSup.pdf
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Additional details
- Eprint ID
- 109595
- Resolver ID
- CaltechAUTHORS:20210626-183437312
- Israel Science Foundation
- 00010001000
- Council for Higher Education (Israel)
- Created
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2021-06-28Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field