Analysis of the anomalous Doppler effect from quantum theory to classical dynamics simulations

doi:10.1088/1674-1056/ade8e4

中国物理B ›› 2025, Vol. 34 ›› Issue (12): 120301-120301.doi: 10.1088/1674-1056/ade8e4

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

收稿日期:2025-05-12 修回日期:2025-06-13 接受日期:2025-06-27 发布日期:2025-12-10
通讯作者: Jinlin Xie E-mail:jlxie@ustc.edu.cn
基金资助:
This project is supported by the National Magnetic Confinement Fusion Energy Program of China (Grant No. 2019YFE03020001).

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

Received:2025-05-12 Revised:2025-06-13 Accepted:2025-06-27 Published:2025-12-10
Contact: Jinlin Xie E-mail:jlxie@ustc.edu.cn
Supported by:
This project is supported by the National Magnetic Confinement Fusion Energy Program of China (Grant No. 2019YFE03020001).

摘要/Abstract

摘要： 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.

关键词: anomalous Doppler effect, resonant condition, angular momentum conservation

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.

Key words: anomalous Doppler effect, resonant condition, angular momentum conservation

中图分类号:

03.65. w

33.35.+r (Electron resonance and relaxation) 02.60.Cb (Numerical simulation; solution of equations)

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[J]. 中国物理B, 2025, 34(12): 120301-120301.

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[J]. Chin. Phys. B, 2025, 34(12): 120301-120301.

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Analysis of the anomalous Doppler effect from quantum theory to classical dynamics simulations

Analysis of the anomalous Doppler effect from quantum theory to classical dynamics simulations

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