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Analysis of the anomalous Doppler effect from quantum theory to classical dynamics simulations |
| Xinhang Xu(徐新航)1, Jinlin Xie(谢锦林)1,†, Jian Liu(刘健)2, and Wandong Liu(刘万东)1 |
1 Department of Plasma Physics and Fusion Engineering, University of Science and Technology of China, Hefei 230026, China;
2 Weihai Institute for Interdisciplinary Research, Shandong University, Weihai 264209, China |
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Abstract The fundamental physics of anomalous and normal Doppler resonances between electrons and electromagnetic (EM) waves is analyzed using a quantum model that incorporates angular-momentum conservation. This work extends prior theory by explicitly linking the resonant integer m to the EM wave’s angular-momentum quantum number. Numerical simulations based on the volume-preserving algorithm (VPA) further confirm this correspondence. Moreover, a direct comparison of the energy-transfer ratio from translational energy to gyrokinetic energy during resonance, between classical dynamics and quantum predictions, is presented and verified numerically.
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Received: 12 May 2025
Revised: 13 June 2025
Accepted manuscript online: 27 June 2025
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PACS:
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03.65. w
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33.35.+r
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(Electron resonance and relaxation)
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02.60.Cb
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(Numerical simulation; solution of equations)
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12.20. m
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| Fund: This project is supported by the National Magnetic Confinement Fusion Energy Program of China (Grant No. 2019YFE03020001). |
Corresponding Authors:
Jinlin Xie
E-mail: jlxie@ustc.edu.cn
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Cite this article:
Xinhang Xu(徐新航), Jinlin Xie(谢锦林), Jian Liu(刘健), and Wandong Liu(刘万东) Analysis of the anomalous Doppler effect from quantum theory to classical dynamics simulations 2025 Chin. Phys. B 34 120301
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