The continuous transition from quantum channeling to the Bragg diffraction at the constant energy
Abstract
It is well known that diffraction effects belong to the low-energy realm of wave physics, while the channeling effect resides in the high-energy realm of particle physics. The energy increase induces the transition between these two effects and is a well-understood singular semiclassical limiting process. In this paper, it will be shown that in the case of high-energy electron diffraction, the change of beam angular divergence can induce a continuous transition between the quantum planar channeling of electrons and Bragg’s electron diffraction at the constant energy. In the described settings, the appearance of the diffraction maxima in the angular distribution of the transmitted electrons will be connected with the appearance of the quasi- stationary quai-periodic waves in crystal channels.
Keywords:
Channeling effect / Dynamical diffraction / Mono-crystals / The transport of electrons / Wave-particle dualitySource:
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2024, 1060, 169025-Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-MESTD-inst-2020-200017)
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Institution/Community
VinčaTY - JOUR AU - Ćosić, Marko PY - 2024 UR - https://vinar.vin.bg.ac.rs/handle/123456789/12286 AB - It is well known that diffraction effects belong to the low-energy realm of wave physics, while the channeling effect resides in the high-energy realm of particle physics. The energy increase induces the transition between these two effects and is a well-understood singular semiclassical limiting process. In this paper, it will be shown that in the case of high-energy electron diffraction, the change of beam angular divergence can induce a continuous transition between the quantum planar channeling of electrons and Bragg’s electron diffraction at the constant energy. In the described settings, the appearance of the diffraction maxima in the angular distribution of the transmitted electrons will be connected with the appearance of the quasi- stationary quai-periodic waves in crystal channels. T2 - Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment T1 - The continuous transition from quantum channeling to the Bragg diffraction at the constant energy VL - 1060 SP - 169025 DO - 10.1016/j.nima.2023.169025 ER -
@article{ author = "Ćosić, Marko", year = "2024", abstract = "It is well known that diffraction effects belong to the low-energy realm of wave physics, while the channeling effect resides in the high-energy realm of particle physics. The energy increase induces the transition between these two effects and is a well-understood singular semiclassical limiting process. In this paper, it will be shown that in the case of high-energy electron diffraction, the change of beam angular divergence can induce a continuous transition between the quantum planar channeling of electrons and Bragg’s electron diffraction at the constant energy. In the described settings, the appearance of the diffraction maxima in the angular distribution of the transmitted electrons will be connected with the appearance of the quasi- stationary quai-periodic waves in crystal channels.", journal = "Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment", title = "The continuous transition from quantum channeling to the Bragg diffraction at the constant energy", volume = "1060", pages = "169025", doi = "10.1016/j.nima.2023.169025" }
Ćosić, M.. (2024). The continuous transition from quantum channeling to the Bragg diffraction at the constant energy. in Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1060, 169025. https://doi.org/10.1016/j.nima.2023.169025
Ćosić M. The continuous transition from quantum channeling to the Bragg diffraction at the constant energy. in Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2024;1060:169025. doi:10.1016/j.nima.2023.169025 .
Ćosić, Marko, "The continuous transition from quantum channeling to the Bragg diffraction at the constant energy" in Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1060 (2024):169025, https://doi.org/10.1016/j.nima.2023.169025 . .